Mathematics High School

Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.

cos θ=3/5, tan θ < 0

Answers

Answer 1

First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Then

sin(θ) = -√(1 - cos²(θ)) = -4/5

and so

tan(θ) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(θ) = 1/cos(θ) = 5/3

csc(θ) = 1/sin(θ) = -5/4

cot(θ) = 1/tan(θ) = -3/4

Related Questions

Simplify (46)
Give your answer as a power of 4.

Answers

Answer:

0.00000368

Step-by-step explanation:

for the table below, what is the range?

Answers

Answer:

second option

Step-by-step explanation:

mark me brainliest pls

Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.4.
Independently, she then decides whether or not to buy a CD, with a probability of 0.3 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.

Answers

Answer:  0.58

Step-by-step explanation:

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

Answer: 0.58

Step-by-step explanation:

 

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

ANSWER =  0.58

can someone help please

Answers

it’s the last one negative 13 over 7 mark me brainliest please

5
What is shape of base?
Name the shape:

Answers

Answer:

pentagon

Step-by-step explanation: pentagon has 5 sides so the base is 5 and pentagon

Answer:

sine

Step-by-step explanation:

https://quizizz

.com/admin/quiz/58b03b8967e5cbbb47f236d7/trig-ratios

EASY 7TH GRADE MATH! FIRST PERSON MARKED BRAINLIEST, NEED HELP NOW!!!

Answers

Answer:

slope of 2 and y-intercept of 1

(3rd answer choice)

Step-by-step explanation:

Answer:

It's the last one doesn't matter which way you go they are both going to the negative way because they are going down and to the left so they are both negative. I hope this helps good luck.

Is that right?

Please help

Answers

Answer:

yes x = 16

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

133 = x + 117 ( subtract 117 from both sides )

16 = x

A teacher lives 8 miles from school. She drives a 2015 Chevy Camaro that gets 19 miles per gallon of gas. How much fuel will she need to get TO AND FROM work for the week?

Answers

Answer:

Step-by-step explanation:

Technically we cannot solve this without knowing how many days a week that she works.

f=(16mi*d)(gal/19mi)

f=(16/19)d

We would have to assume that she works a certain amount of days. If we assume she works every day

f=7(16/19)=112/19, approximately 5.9 gal

Which inequality represents all values of x for which the quotient below is defined? √x+2÷√5-x​

Answers

Answer:

The answer is C -2<x<5 ihope its help

-2 ≤ x < 5

represents all values of x which the quotient √(x+2) ÷ √(5-x)​ is defined.

How do I solve this equation? 2/3(x-4)=1/2

Answers

Answer:

19/4

Step-by-step explanation:

the answer is 19/4.From the photo

Could anybody help me with these few they're awfully confusing to me.

Answers

Answer:

how can I be of help

can't see anything actually

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation

….

Answer: 0.9

Step-by-step explanation:

Pls help ill give 5.0/5 for helpful answer

Answers

Answer:

Step-by-step explanation:

[tex]3h+\sqrt{2}=\sqrt{5}\\ \\ 3h=\sqrt{5}-\sqrt{2}\\ \\ h=\frac{\sqrt{5}-\sqrt{2}}{3}[/tex]

Question:

3h+sqrt.2=sqrt.5

Answer:

h=sqrt.5-sqrt.2/3 (the very last option)

Method:

You have to get h on its own so you start by subtracting sqrt.2 on both sides, you subtract because you have to reverse the original symbol (+ becomes -, ^2 becomes sqrt., * becomes /, and the other way around, etc.), once you do that you have to divide by 3 on both sides and you get your answer.

Visual:

1. 3h+sqrt.2=sqrt.5
-sqrt.2 -sqrt.2

2. 3h=sqrt.5-sqrt.2
/3 /3

3. h=sqrt.5-sqrt.2 /3

Hope this helps!

Can someone help me with these word problems?

Answers

Answer:

First Answer: 12.5 weeks

Third Answer: 16 minutes(I think it was a really long decimal so I rounded it up)

Evaluate:
(15 +12) - 3 to the second power

Answers

Answer:

Step-by-step explanation: (15+12)-3^2 power ------> 27-3^2 power ----> 27-9 ----> equals 18

ANSWER:

18

SOLUTION:

(15+12) -3^2

(15+12) = 27

=27-3^2

=27- 9

=18

Divide R2
848 in the ratio 3:5.​

Answers

Answer:

1 = 3x = 3 x 356 = 1068

2 =  5x = 5 x 356 = 1780

Step-by-step explanation:

Rupees = 2848

3x + 5x = 2848

8x = 2848

x = 2848 / 8 = 356

1 = 3x = 3 x 356 = 1068

2 =  5x = 5 x 356 = 1780

I hope im right!!

9514 1404 393

Answer:

  ₹318 : ₹530

Step-by-step explanation:

One part is 3/(3+5) of the total, so is ...

  (3/8)(₹848) = ₹318 . . . first part

The other part is the remaining 5/8 of the total, so is ...

  (5/8)(₹848) = ₹530 . . . second part

can you help me with my homework please​

Answers

Answer:

Yes

Step-by-step explanation:

What Are The Questions

PLS HELP ME (i will give brainliest) I’m not very smart.

using 3.14 or 22/7. what is the circumference of these 3 circles.

Answers

Answer:

1) 6(3.14) = 18.84 in

2) 9(2)(3.14) = 56.52 cm

3) 1.5(3.14) = 4.71 ft

Find the value of h(45) for the function below.

Answers

Answer:

I agree with her her explain and her solving

Which expression is equivalent to 2a^2b^11/5c^5

Answers

Answer:

The measure of angle JKL is 97 degrees.Apr 12, 2020

Step-by-step explanation:

The measure of angle JKL is 97 degrees.Apr 12, 2020

Please give me the correct answer.​

Answers

15
DONT ACTUALLY WRITE THIS DOWN IM USING IT FOR POINTS

Answer:

1:2

Step-by-step explanation:

The left side goes up one when the left goes up 2

Find the area of the figure.
(Sides meet at right angles.)
3 ft
2 ft
2 ft
1 ft
5 ft
2 ft
2 ft
3 ft

Answers

50 sq ft. Explanation:
50ft I think , I’m not 100% sure

What is 36838e÷592019339e​

Answers

Answer:

Hi! Your answer is down below!

Step-by-step explanation:

Hope this helps!

Have a nice day <3

Answer:

57.2243187

Step-by-step explanation:

it would be way too long to explain

Please help me I dont have that much time

Answers

I think the answer is C. 3/2.

the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?

Answers

The length , explain that againnnnnnn

Answer:

Step-by-step explanation:

Try n = 2

2n = 4

n^2 = 4

n+5 = 7   That works. It will make a triangle since the 2 smallest numbers are bigger than 7

Try n = 3

2n = 6

n^2 = 9

n + 5 = 8     That works. Same reason as above.

n = 4

2n = 8

n^2 = 16

n + 5 = 9    That works. Same reason.

n = 5

2n = 10

n^2 = 25

n+5 = 10   Aha! That doesn't work. the two smaller numbers only = 20.

There are likely many numbers that don't work. I'll try one more

n = 6

2n = 12

n + 5 = 11

n^2 = 36   This won't work either. Same reason as n = 5.

4, 4, 4, 2, 1,

What is the volume of this container?

Answers

Answer:

put a pic i cant see the model

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

2/3x - 7 < 9
help please

Answers

Answer:

x<24

*the answer will be incorrect if you meant 2/(3x) instead of (2/3)x

Step-by-step explanation:

First, add 7 to both sides of the inequality to get "2/3x<16." Then multiply both sides by 3 to get "2x<48." Finally, divide both sides by 2 to get "x<24"

Can someone help me?????

Answers

answer: b
explanation: CD=AB since they are parallel meaning 33 = x+14 (solve to get y=19) and then AD=CB because they are also parallel meaning y=10

Write an
expression using scale factor, k, for each dimension?
1D
2D
3D

Answers

the correct answer is1D k 2D k 3Dk

2x + 8 = 14 solve the equation you may find using algebra tiles to be helpful

Answers

Answer:

x = 3

Step-by-step explanation:

2x + 8 = 14

2x = 6

x = 3

Answer:

3

Step-by-step explanation:

subtract 8 from both sides

then divide 2 from both sides to get x = 3

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