PYQ - Prove the following I — task. Maths TNSB Mentoring, Class 10 Crash course.

Show that \(\frac{sec \ x}{sin \ x} - \frac{sin \ x}{cos \ x} = cot \ x\)

Proof:

LHS \(=\) \(\frac{sec \ x}{sin \ x} - \frac{sin \ x}{cos \ x}\)

\(=\)

\(=\) \(cot \ x\)

\(=\) RHS

Hence, we proved.

Answer variants:

\frac{\cos^{2} x}{\sin x \cos x}

\frac{1 - \sin^{2} x}{\sin x \cos x}

\frac{\frac{1}{\cos x}}{\sin x} - \frac{\sin x}{\cos x}

\frac{1}{\sin x \cos x} - \frac{\sin x}{\cos x}

\frac{\cos x}{\sin x}

Did you find an error?

3. PYQ - Prove the following I