Let \theta be an angle in quadrant 3 such that \sin\theta=-\frac{5}{13}

Phoebe

Phoebe

Answered question

2021-08-15

Let θ be an angle in quadrant 3 such that sinθ=513
Find the exact values of secθ and cotθ.

Answer & Explanation

Alannej

Alannej

Skilled2021-08-16Added 104 answers

We have to find the trigonometry ratios
θ is in quadrant 3
sinθ=513
cosθ=1sin2θ
=125169=144169
=±1213
cosθ=1213
secθ=1cosθ=1312=1.083
cotθ=cosθsinθ=1213513=1213×135
cotθ=125=2.4
secθ=1312=1.083
cotθ=125=2.4
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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