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

Which expression is equivalent to 12x + 20y?

Answers

15x+20y+5z I’m pretty sure

what is - 5 = -2 what is the questionwhat is the question

Answers

Answer:

-5 + 3 = -2

Step-by-step explanation:

I don't really understand what you're trying to ask here...

find the area plz and thank u have explanation

Answers

Step-by-step explanation:

a pentagon is 5 equilaterial triangles meaning you would use the formula of area of a triangle and multiply that by 5.

422.5m^2 is the answer

Will divided 78 crayons equally among 13 friends. How many crayons did Will give to each of his friends?

Answers

Answer:

6

Step-by-step explanation:

78/13 = 6 crayons

Answer:

6 crayons I believe

Step-by-step explanation:

78/13= 6

I need help due in a Hour

Answers

answer:

50 yd

explanation:

1. What is the first step
in solving equations?

Answers

Answer:

Read and highlight the problem

Step-by-step explanation:

Answer:reading the problem and looking for key words to help you solve the answer

Step-by-step explanation:

What is the HCF of 130,325 and 845​

Answers

Answer:

The HCF of 130, 325 and 845 is equal to 65.

Step-by-step explanation:

We need to find the HCF of 130, 325 and 845​.

First, we see the prime factors of the above numbers i.e.

The factors of 130 are: 1, 2, 5, 10, 13, 26, 65, 130

The factors of 325 are: 1, 5, 13, 25, 65, 325

The factors of 845 are: 1, 5, 13, 65, 169, 845

Then the greatest common factor is 65. So, the HCF of 130, 325 and 845 is equal to 65.

2. How many solutions in the equation 3x + 5 = 3x + 10 *
1 point
One solution (Sometimes True)
Infinitely Many Solutions (Always True)
No solution (Never True)

Answers

Answer:

One solution

Step-by-step explanation:

can you round 16.191

Answers

Answer:

Yes,

rounding to the nearest hundrenth would be 16.19

rounding to the nearest tenth would be 16.2

and rounding to the nearest ones place would get you 16

Step-by-step explanation:

this is a 10 point question i need help

Answers

It’s B because they both equal each other I would explain more but I’m in class but the answer is definitely B

Consider -152 ÷ 19. Which statements are correct?
A) -152/19 = -8
B) 19/ -152 = -8
C) -152 ÷ 19 is rational
D) -152 ÷ 19 us irrational
E) -152 ÷ 19 = -152/19

Answers

Answer: A, C, E

Explanation:
-152/19 = 8
-8 = -8 ✅
-152 ÷ 19 = -8 the number -8 can be written as a fraction so it’s rational
-152 ÷ 19 = -152/19
-8 = -8 ✅

a line passes through the point (-4 , -5) and has a slope of -5/4. Write an equation in slope - intercept form of this line

Answers

Answer:

y=-5/4x-10

Step-by-step explanation:

(✿◡‿◡) <-- she wants Brainliest

Depending on traffic, Danielle’s drive to the park is p minutes from work and 90 minutes from the park to her home. If Danielle’s total commute (c) took two hours today, how long was Danielle’s drive to the park from work? Set up your equation when total commute time (c) depends on the time to drive to the park (p).

Equation: ______________
p=88 minutes
p=70 minutes
p=40 minutes
p=30 minutes

Answers

Answer:

The equation is;

p + 90 = 120 minutes

Danielle’s drive from work to the park took 30 minutes ( p = 30 minutes)

Step-by-step explanation:

Here, we want to write and solve an equation

Here, we want to get the time taken by Daniele from the park to work

From the question, the total commute is two hours

since 1 hour is 60 minutes, it follows that 2 hours is 120 minutes

Now, if we added the time taken to commute both journeys, we have the total as 2 hours

This means;

p + 90 = 120 minutes

p = 120 - 90

p = 30 minutes

(04.05)
Which of the following is true about a function that is constant? (4 points)

HELP PLEASE

Answers

Answer:

A. it is a horizontal line

Step-by-step explanation:


Sarah went to the mall and bought a pair of sneakers for $132. They are on sale for 20% off. What will the new price be?

Answers

Answer:

$105.6

Step-by-step explanation:

132*.20=26.4

132-26.4=105.6

27 is 50% of what number? Enter your answer in the space below.​

Answers

Answer:

54

Step-by-step explanation:

50% is half
so 27 is half of 54

Aaron rolls a die 40 times. On 25 of those rolls, he has a 3. Michelle rolls a die 80 times. On 40 of those rolls, she has a 6. Which statement is TRUE about the experimental and theoretical probabilities?
A) The theoretical probability for rolling a 3 is the same as for rolling a 6.
B) The theoretical probability for rolling a 3 is greater than for rolling a 6.
C) The experimental probability for Aaron's tries is the same as Michelle's tries.
D) The experimental probability for Aaron's tries is less than the experimental probability for Michelle's tries.

Answers

Answer:

D.)

Step-by-step explanation:

because aron's tries too many times.

the answer is

= A

if you read cafully (dont  acually  read carefully )

the answer is A

Ashley is deciding between two jobs.
Job A pays $2000 a month with a
monthly raise of $85. Job B pays $2000
a month with a monthly raise of 4%.
a. Write a function to represent the
monthly salary for job B.

Answers

Answer:

job A because 4% of 2000 is 80 and job A is 5 dollars extra

What type of angle is angle M?

Answers

Answer:

Right Angle

Step-by-step explanation:

Angle M  is a right angle as it's a 90-degree angle.

Someone help me it’s timed

Answers

Answer:

so its 3,3, and 3? so put in 9 that should be it

Answer:

27 cubic inches

Step-by-step explanation:

A volume of any prism is b*h*w

a cube volume is 3 cubed.

3 cubed = 27

hope this helped :))

Mrs acquino made 25 cookies 4 fiths of the cookies wher oatmeal how many oatmeal cookies did mis acquino bake?

Answers

She made 20 oatmeal cookies

4/5 = 0.8

0.8 x 25 = 20

What is 15% of a restaurant check for $46.72? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

$7.01

Step-by-step explanation:

46.72 * 0.15 = 7.008

A shopkeeper buys a stove from a manufacturer for $100.The selling price if he makes a profit of 15%

Answers

Answer:Selling Price = $115

Step-by-step explanation:

Selling price = Cost price + Profit

Cost price = $100

Profit = 15% = 15%  x 100 = $15

Selling Price = $100 + $15= $115

OR

Selling Price  =  Cost price + Profit

Selling Price =$100 + (15% of $100)

Selling Price = $100+ $15

= $115.

There are 24 red flowers and 16 yellow flowers. What percent of the flowers are
yellow?

Answers

24+16=40
100/40=2.5
2.5 x 16 = 40
40% of the flowers are yellow

Hope this helps

I need help ASAP
Which one is it ?

Answers

Answer:

C

Step-by-step explanation:

Tangent = opposite/adjecent.

sine

https://quizizz

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

Janessa sleeps 7 1/2 hours each night. How many minutes does she sleep each night?

Answers

Answer: 450 minutes

Step-by-step explanation: First you find 7 hours to minutes by multiplying 7 by 60. You will get 420. Then, add 420 and 30 because a half of an hour is 30 minutes. Your final answer will be 420 minutes!

Your welcome!

Good night!

The area of a circular garden is 254.34 ft. Which of the following could be the approximate diameter of the garden?

Answers

If any of the possible answers are close to 18 that’s probably it.

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Answer:

7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm

Step-by-step explanation:

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The distance from the lighthouse to the boat will be given by: tan θ=opposite/adjacent θ=angle of depression=23 opposite= height of the lighthouse adjacent=distance from the boat to the bottom of the light house hence tan 23=210/a thus solving for a we obtain: a=210/tan23 hence a=494.73 ftHOPE IT HELPS !!!

Aaron buys a game for $25.00 and has to pay $2.00 for tax. What is sales tax rate?

Answers

Answer:

$12.50

Step-by-step explanation:

divide

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