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.

Guest May 11, 2022

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