Question

If $\sin \theta =\frac{3}{5}$, then evaluate $\frac{\cos \theta -\frac{1}{\tan \theta }}{2\cot \theta }$.

• A. $-1/5$
• B. $1/5$
• C. $2/5$
• D. $-2/5$

Answer 1

The correct option is A $-1/5$

given $sin\theta =3/5$ so using same getting the $cos\theta =4/5$ and $tan\theta =3/4$ and $cot\theta =4/3$ so placing all in the question the answer is $-1/5$

hence option A is correct.