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given cos(θ) =-3/4 and angle θ is in quadrant 2, what is the exact value of sin(θ) in the simplest form.

 

my answer is 12/13.

 

my work; cos is adjacent over hypotenuse. the adjacent side is -5 and the hypotenuse is 13. We use the Pythagorean theorem to figure out the missing side. (-5)^2+x^2=13^2. the missing side is 12. Sine is opposite over hypotenuse so that's 12 for the opposite side and 13 for the hypotenuse.

 May 11, 2022
edited by Guest  May 11, 2022
edited by Guest  May 11, 2022
edited by Guest  May 11, 2022
edited by Guest  May 11, 2022
 #1
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√7/4

 May 12, 2022
 #2
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sin( theta) is positive becasue it is in the second quadrant

 

Find the opposite side using Pythagoras's Theorem.  Then read of sin (theata)

 

 May 12, 2022

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