Given that \cos(\theta)=\frac{3\sqrt{13}}{13}, and \theta is in Quad

Clifland

Clifland

Answered question

2021-09-21

Given that cos(θ)=31313, and θ is in Quadrant 4, what is sin(θ)? Give your answer as an exact fraction with radical, if necessary.

Answer & Explanation

insonsipthinye

insonsipthinye

Skilled2021-09-22Added 83 answers

Given,
cosθ=31313
To evaluate,
sinθ
we know that,
cos2θ+sin2θ=1
sinθ=1cos2θ
Given,
cosθ=31313
cos2θ=(31313)2
=9×13132
=117169
Hence,
sinθ=1cos2θ
=1117169
=169117169
=52169
=21313
sinθ=21313

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