While proving the identity

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

\dfrac{\sec^{2}\theta-1}{\sec\theta}=\sin\theta

, the left-hand side is first rewritten using a fundamental identity for

\sec^{2}\theta

. What is the resulting expression after this single substitution? (a)

\dfrac{\tan\theta}{\sec\theta}

(b)

\tan^{2}\theta\,\sec\theta

(c)

\dfrac{\tan^{2}\theta}{\sec\theta}

(d)

\dfrac{\tan^{2}\theta}{\cos\theta}