Question

Which of the following is equivalent to sin θ + cot θ cos θ

Answer 1

`\begin{gathered} sin\theta+cot\theta cos\theta=sin\theta+(1)/(tan\theta)cos\theta=sin\theta+(cos\theta)/(sin\theta)cos\theta \\ =sin\theta+(cos^2\theta)/(sin\theta) \\ \\ =(sin^2\theta+cos^2\theta)/(sin\theta)=(1)/(sin\theta) \\ \end{gathered}`

The answer is B