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Find sinθ\sin \theta And cotθ\cot \theta Given That secθ=2\sec \theta = - 2

Question 89

Multiple Choice

Find sinθ\sin \theta and cotθ\cot \theta
Given that secθ=2\sec \theta = - 2 And tanθ>0\tan \theta > 0


A) sinθ=3.52\sin \theta = - \frac { 3 . \sqrt { 5 } } { 2 }
, cotθ=293\cot \theta = \frac { 2 - \sqrt { 9 } } { 3 }

B) sinθ=52\sin \theta = \frac { \sqrt { 5 } } { 2 }
, cotθ=2\cot \theta = - 2

C) sinθ=52\sin \theta = - \frac { \sqrt { 5 } } { 2 }
,
cotθ=33 \cot \theta=-\frac{\sqrt{3}}{3}

D) sinθ=12\sin \theta = - \frac { 1 } { 2 }
, cotθ=33 \cot \theta=\frac{\sqrt{3}}{3}

E) sinθ=32 \sin \theta=-\frac{\sqrt{3}}{2}
, cotθ=33 \cot \theta=\frac{\sqrt{3}}{3}

Correct Answer:

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