If and , what is…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If

\cot \theta = 3

and

\sin \theta < 0

, what is

\cos \theta

? (a)

-\dfrac{9}{10}

(b)

\dfrac{3}{\sqrt{10}}

(c)

-\dfrac{1}{\sqrt{10}}

(d)

-\dfrac{3}{\sqrt{10}}

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