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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

 

My answer= -1

 

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

sin(5π6)+2tan(7π4)

 

32

12+2√

12−2√

−32

 

My answer= -3/2

 

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+0 Answers

 #1
avatar+86649 
+2

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

 

 

cool cool cool

CPhill  Jan 13, 2018

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