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#

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Related Questions

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

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

Answers

Answer:

a is 4 and A is 7

Step-by-step explanation:

Answer:

89443

Step-by-step explanation:

how do i solve these using substitution

Answers

Answer:

Step-by-step explanation:

point form:

(3,4)

equation form:

x= 3,  y= 4

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.

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:

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

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

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°

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

Answers

Answer:

B

Step-by-step explanation:

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

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

Answers

x=15 because 15-5=10

What’s the answer plz help!

Answers

Answer:

40 and 60

Step-by-step explanation:

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

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

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]

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

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

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

I need the answer ASAP!!

Answers

Answer:

it equal 23x , that the answer

Help please and thank you

Answers

Step-by-step explanation:

i think it is the third choice

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.

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

Answers

Answer:

23

Step-by-step explanation:

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:

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)

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

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

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

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!!

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:

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