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3 years ago

Please answer this question correctly! 20 points and brainliest to the correct answer!!

Mathematics

1 answer:

Vitek1552 [10]3 years ago

6 0

D because the rest can be divided into cubes or rectangles.

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Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

Nvm thanks its everyday bro with that disney channel flow

Colt1911 [192]

in all my years ive never seen something like this

8 0

3 years ago

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What is the scale factor of 5.8 and 1.45

Marianna [84]

No clue at all, Soorieee

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3 years ago

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What value from the set 10,11,12,13 that makes the equation 2(x-5)=12 true

Bas_tet [7]

Answer:

Step-by-step explanation:

first (x-5) you would substitute x for 11 then subtract 5. next you would multiple by 2 and your answer would be 12

5 0

3 years ago

1) In 2011, the population of deer in a forest was 650.

xz_007 [3.2K]

650 divided by 15= 97

5 0

3 years ago