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# Check if my answers are correct?

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Hello everyone, I already have answers to the three questions I'm asking but I just want to make sure I am right, Thank you for checking my answers.

1. What is the exact value of the trigonometric expression?

tan(7π4)

2√2

1

−2√2

−1

2. What is the exact value of the trigonometric expression in simplest form?

sin(5π6)+2tan(7π4)

32

12+2√

12−2√

−32

3.

θ  lies in Quadrant II .

cosθ=−811cosθ=−811

What is the exact value of sinθ in simplified form?

−57√11

57√11

857√57

811

My answer= Honestly, for this one, I have no idea. Help me out?

Guest Jan 13, 2018
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#1
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First one is good

Second is good, too

cos θ  =  -8/11

We need to find  y  .....since we are in Quad II, it will be positive   =

√ [  11^2  - (-8)^2  ]  =  √ [ 121 - 64 ]  = √ 57

So.....

sin θ  = y / r  =   √ 57 / 11

CPhill  Jan 13, 2018

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