A student attempts to verify the identity as follows: Step 1: Step 2: Step 3: At…

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

Problem

A student attempts to verify the identity

\dfrac{1-\cos^{2}x}{\sin x}=\sin x

as follows: Step 1:

\dfrac{1-\cos^{2}x}{\sin x}= \dfrac{\tan^{2}x}{\sin x}

Step 2:

=\dfrac{\sin^{2}x}{\sin x}

Step 3:

=\sin x

At which step does the first error occur? (a) Step 2 (b) There is no error (c) Step 1 (d) Step 3