simplify tan ( t ) sec ( t ) tan(t)sec(t) to a single trig function with no fractions.

Answers

Answer 1

The final simplified form is (1 - cos²(t)) / cos⁴(t).

To simplify tan(t)sec(t)tan(t)sec(t) to a single trig function with no fractions, follow these steps:

Step 1: Recall the definitions of tan(t) and sec(t)
tan(t) = sin(t)/cos(t)
sec(t) = 1/cos(t)

Step 2: Substitute the definitions into the expression
tan(t)sec(t)tan(t)sec(t) = (sin(t)/cos(t)) * (1/cos(t)) * (sin(t)/cos(t)) * (1/cos(t))

Step 3: Simplify the expression
(sin(t)/cos(t)) * (1/cos(t)) * (sin(t)/cos(t)) * (1/cos(t)) = sin(t) * sin(t) / (cos(t) * cos(t) * cos(t) * cos(t))

Step 4: Rewrite using trigonometric identities
sin²(t) / cos⁴(t) = (1 - cos²(t)) / cos⁴(t)

This expression cannot be simplified further to a single trig function without fractions. The final simplified form is (1 - cos²(t)) / cos⁴(t).

To know more about trigonometric identities, refer to the link below:

https://brainly.com/question/31837053#

#SPJ11


Related Questions

Help please and thank you

Answers

Step-by-step explanation:

i think it is the third choice

Help me please answer thanks

Answers

So what you want to do first is get this and get that to get this
Value of y = 6

y = 2x

y = 2(3)

y = 6

A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?
Please simplify to a fraction and make sure its a whole and a fraction, not just the fraction!
:D

Answers

Answer:

i alr answered this correctly

Step-by-step explanation:

3 4/5

3 8/9OR3.888888888888888888888888OR35/9

Another name for a cube is
A. dodecahedron
B. hexahedron
C. icosahedron
D. tetrahedron
please help

Answers

Answer:

B

Step-by-step explanation:

find x=, if x-5=10 HURRY!!!!

Answers

x=15 because 15-5=10

What is the value of 3x^4?

Answers

Answer:

243

Step-by-step explanation:

[tex]5( \sqrt{ {x}^{2} + 2x - 14} + x) = 20 \\ \\ \sqrt{ {x}^{2} + 2x - 14} + x= \frac{20}{5} \\ \\ \sqrt{ {x}^{2} + 2x - 14} + x= 4 \\ \\ \sqrt{ {x}^{2} + 2x - 14} = 4 - x\\ \\ {(\sqrt{ {x}^{2} + 2x - 14} )}^{2} = {(4 - x)}^{2} \\ \\ \cancel{ {x}^{2}} + 2x - 14 = 16 - 8x + \cancel{ {x}^{2} } \\ \\ 2x - 14 = 16 - 8x \\ \\ 2x + 8x = 16 + 14 \\ \\ 10x = 30 \\ \\ x = \frac{30}{10} \\ \\ x = 3 \\ \\ 3 {x}^{4} = 3 {(3)}^{4} = 3 \times 81 \\ \\ \huge \red {3 {x}^{4}= 243}[/tex]

HELP ASAP!!Solve for x. Enter the solutions from least to greatest.
X squared minus 5x minus 14=0
lesser x=
greater x=

Answers

x^2 - 5x - 14 = 0

what multiplies to negative 14 and adds to negative 5? -7 and positive 2.

(x - 7) (x + 2) = 0

Lesser x = -2
Greater x = 7

how do i solve these using substitution

Answers

Answer:

Step-by-step explanation:

point form:

(3,4)

equation form:

x= 3,  y= 4

Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

a. $1,617

b. $4,983

Step-by-step explanation:

a. The account suffered a decrease of 24.5% of the original sum of $6,600.

This amount in cash is:

= 24.5% * 6,600

= $1,617

b. If the account reduced by $1,617, the balance left is:

= 6,600 - 1,617

= $4,983

Please help anyone will give Points

Answers

Answer:

do the base are 3 then times that twice

Step-by-step explanation:

2/8 = x/64

2/8 • 64 = x/64 • 64

128/8 = x

x = 128/8

x = 16

The volume of Figure A is 16 m³.


Hope it helps!

A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?

$_______per gallon

Answers

Answer:

Each gallon of gas was $2.30

Step-by-step explanation:

PHYSICS
12 people are on the elevator to a height of 120 m. The average mass per person is 50 kg. What work does the lift engine do?​

Answers

Answer:

720000 J

Step-by-step explanation:

The formula is

Work = Force * Distance

Here we have the weight force, which is calculated as w = m * g

acceleration of gravity (g) ≈ 10 m/s

people's mass (m) = 12 * 50 kg = 600 kg

So Force = 10 m/s * 600 kg = 6000 N

Distance = 120 m

Work = Force * Distance = 6000 N * 120 m = 720000 J = 720 kJ

find the volume of the cube below with a side length of 7.

Answers

Answer:

343 square unit is the answer...

Step-by-step explanation:

as a^3 is formula for finding volume where a is 7

What is the ratio of new books to used books?
15 books 7 of these books are new . The rest of them are used

Answers

Answer:

7 to 8

Step-by-step explanation:

7-15=8

The tickets to a high school hockey game cost either $6 or $11. A total of 540 tickets, worth $4,740, were sold. How much of the $4,740 was made from selling the $6 tickets?

Answers

Answer:

Your answer.

240

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

90% of e is 30. What is e?

Answers

Answer:

27

Step-by-step explanation:

Answer:

e = 33.3 (approx. )

Step-by-step explanation:

To find out - 'e'

Given,

90 % of e = 30

[tex] = > \frac{90}{100} \times e = 30[/tex]

[tex] = > e = 30 \times \frac{100}{90} [/tex]

[tex] = > e = \frac{100}{3} [/tex]

=> e = 33.3333......

=> e = 33.3 (approx. ) (Ans)

A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth

Answers

Answer:

C≈51.84in

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C= πd= π·16.5≈51.83628in

whats -5( a -6)+2a ?

Answers

Answer:

a is 4 and A is 7

Step-by-step explanation:

Answer:

89443

Step-by-step explanation:

what does 7x^2+12x-3 equal?

Answers

Answer:

23

Step-by-step explanation:

Juan works at a health food store
two hours a day, three days a
week. His weekly pay is $73.50.
About how much does Juan make
per hour?

Give me the right answer and I’ll mark your answer the brainliest

Answers

Answer:

12.25 per hour

Step-by-step explanation:

have a great day!

The answer is 12.25.

I'm sure about the answer.

Cora is bringing donuts to work as a treat for her co-workers. She buys 12 donuts for $9.96. How much does each donut cost? 30 POINTS FAST NEED HELP

Answers

Divide total cost by number of donuts bought:

9.96 / 12 = 0.83

Each donut cost $0.83

Answer:

0.83

Step-by-step explanation:

number of donuts divided by price

12/9.96=1/X

X=0.83

Find the geometric mean of 6 and 30, write your answer in simplest radical form.

Answers

Answer:

13.4

Step-by-step explanation:

The answer is 13.4!!

Chad likes to play Bingo at the nearby American Legion Hall. One day he goes into the hall with $14 in his pocket. When he comes out, he has no money left and owes his friend Greg $3.

1. How much money did Chad lose that night?

2. At home, Chad finds $5 in the kitchen drawer. If you include the $3 he owes Greg, how much does Chad have, total?

Answers

Answer:

1. $17

2.$2

Step-by-step explanation:

Answer:

1)14+3=17

2)5-3=2

b. Classify the triangle shown by its angles and by its sides.​

Answers

Answer:

Yes, according to the angles and sides of the hills

Answer:

Answers

1.  40o, obtuse

2.  90o, right

3.  scalene

4a.  equilateral

4b.  isosceles

4c.  scalene

5.  An acute triangle has 3 acute angles, not just 1.  The figure contains a right angle and is therefore a right triangle.

6.  obtuse

7.  58o, acute

8.  Yes, because the measures add up to 180o.

9.  C

10.  The triangle would be isosceles, because isosceles triangles have two sides the same length.

Step-by-step explanation:

What’s the answer plz help!

Answers

Answer:

40 and 60

Step-by-step explanation:

janet buys 12 pencils for $1.49. what is the cost per pencil?

Answers

Answer:

0.124$

...............

you can simply divide the price of the pencils = 1•49$

by the number of pencils bought = 12

1•49/12

= 0•124$

Answer: 0.124166667 U.S. dollars

((1 U.S. dollar) + (49 U.S. cents)) / 12 =

0.124166667 U.S. dollars

What integer values for a and b would make the following statement true?

Answers

Answer:

i think the values for a and b are: a=2 and b=1/4

I need the answer ASAP!!

Answers

Answer:

it equal 23x , that the answer

6=2(y+2) y=?

please help​

Answers

6 = 2(y + 2)
Divide by 2 on both sides.
3 = y + 2
Subtract 2 from both sides.
1 = y

(Substitution)
6 = 2(1 + 2)
6 = 2(3)
6 = 6
Answer:  y = 1

==========================================================

Explanation:

There are two ways to solve this

The first method will have us distribute the 2 through to each term, then we solve for y

6 = 2(y+2)

6 = 2y+4 .... distribute

2y+4 = 6

2y = 6-4 .... subtract 4 from both sides

2y = 2

y = 2/2 .... divide both sides by 2

y = 1 is the answer

-------------

Or we can solve through this set of steps

6 = 2(y+2)

6/2 = y+2 ...... divide both sides by 2

3 = y+2

y+2 = 3

y = 3-2 .... subtract 2 from both sides

y = 1

Either way, we get the same answer.

-------------

To check the answer, replace every copy of y with 1

Simplifying should lead to 6 on the right side

6 = 2(y+2)

6 = 2(1+2)

6 = 2(3)

6 = 6

Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.

Someone please hurry, I have no idea what I am doing

Answers

Answer

61.80°

Step-by-step explanation:

use SOHCAHTOA to solve

by using SOH

sin? = 51/55

? = 1÷sin(51/55)

? = 61.80°

Other Questions
martha mills, manager of plaza gold emporium, wants to sell on credit, giving customers 4 months in which to pay. however, martha will have to borrow from her bank to carry the accounts receivable. the bank will charge a nominal 18%, but with monthly compounding. martha wants to quote a nominal rate to her customers (all of whom are expected to pay on time at the end of 4 months) that will exactly cover her financing costs. what nominal annual rate should she quote to her credit customers? For a player to surpass Kareem Abdul-Jabbar, as the all-time score leader, he would need close to 40,000 points. Based on the model, how many points would a player with a career total of 40,000 points have scored in their rookie season? Explain how you determined your answer. Suppose you toss a coin and put a Uniform[0. 4, 0. 6] prior on , the probability of getting a head on a single toss. (a) If you toss the coin n times and obtain n heads, then determine the posterior density Of (b) Suppose the true value of is, in fact, 0. 99. Will the posterior distribution of ever put any probability mass around 0. 99 for any sample of n? (c) What do you conclude from part (b) about how you should choose a prior? because instruments were not yet specified in the musical scores for renaissance dance music, performers could decide which instruments and how many instruments to use in a performanceT/F You could speculate that it is important for motorists to keep up-to-date with traffic laws and driving techniques... A) to maximize safety on the road. B) so they will behave as other drivers expect them to.O c) so they can avoid getting a ticket.O D) All of the above are correct. The standard cell potential at 25 C is 1.92 V for the reactionPb(s)+PbO2(s)+2H+(aq)+2HSO4(aq)2PbSO4(s)+2H2O(l)What is the standard free-energy change for this reaction at 25 C?Express your answer with the appropriate units. 5. 01 It's Manifest Destiny! Advanced-411 FilePart 1: Fill in details from the lesson for each of these topics. CostsReasonsImpactMigration the british presence in india: was welcomed by the indigenous ruling elites. started with the interjection of the british military around 1700. did not formally end until just after world war ii. had little lasting effect on indian society. A 2.60-N metal bar, 0.850m long and having a resistance of 10.0? , rests horizontally on conducting wires connecting it to the circuit shown in (Figure 1) . The bar is in a uniform, horizontal, 1.60-T magnetic field and is not attached to the wires in the circuit.What is the acceleration of the bar just after the switch S is closed? I need help now!!! +77 points (if it shows) +BRAINLIEST One shirt at H&M cost $7. what is the cost of 40 shirts (9)if older adults suffer abuse, it is most often perpetrated by who? Which of the following statements best describes the effect of the Voting Rights Act of 1965 on voter registration in southern states? The gap between the percentage of whites registering to vote and the percentage of African Americans registering to vote declined significantly after passage of the Voting Rights Act. how many g of fe can be made from 75.0 g feo and 25.0 g mg How does the phenomenon of diffusion of responsibility relate to the social responsibility norm for helping victims? O Diffusion of responsibility is unrelated to the social responsibility norm. O Diffusion of responsibility is a phenomenon in which each group member demonstrates a strong willingness to help due to the social responsibility norm. O Diffusion of responsibility and social responsibility are identical terms. O When many people are present, diffusion of responsibility leads us to think that the victim does not depend on us. Accordingly, the social responsibility norm is weakened for each person some of the weight-control fallacies associated with weight loss are spot reduction, exercise devices, drugs such as laxatives, smoking, and the idea that people can lose inches and not pounds.T/F when interviewing and planning care for a patient with fear of public speaking, the nurse must be aware that social phobias are often treatable with: group of answer choices neuroleptics. beta-blockers. tricyclic antidepressants monoamine oxidase inhibitors. ol Determine the probability P (More than 12) for a binomial experiment with n=14 trials and the success probability p=0.9. Then find the mean, variance, and standard deviation. Part 1 of 3 Determine the probability P (More than 12). Round the answer to at least four decimal places. P(More than 12) = Part 2 of 3 Find the mean. If necessary, round the answer to two decimal places. The mean is Part 3 of 3 Find the variance and standard deviation. If necessary, round the variance to two decimal places and standard deviation to at least three decimal places. The variance is The standard deviation is Student B adds 24.000 g of copper shot to a 100 mL graduated cylinder. He gently taps the base of the cylinder to remove the air trapped between the copper shot pellets. The meniscus for the water rests at 25.4 mL. Calculate Student B's density for the metal shot. Show your work. A day care center has a rectangular, fenced play area behind its building. The play area is 30 meters long and 20 meters wide. Find, to the nearest meter, the length of a pathway that runs along the diagonal of the play area.