TBQ - Prove the following identites — task. Maths CBSE Live product, Class 10 (2026-27).

Prove that each of the following trigonometric identities for acute angles wherever the expressions are defined.

\(\frac{cos A}{1+sin A}+ \frac{1+sin}{cosA}=2sec\ A\)

Proof:

\(\frac{cos A}{1+sin A}+ \frac{1+sin}{cosA}= \)

\(=\)

\(=\) \(2sec\ A\)

Hence proved.

Answer variants:

\frac{2 + 2 \sin A}{(1 + \sin A) \cos A}

\frac{2}{\cos A}

\frac{2 (1 + \sin A)}{(1 + \sin A) \cos A}

\frac{\cos^{2} A + {(1 + \sin A)}^{2}}{(1 + \sin A) (\cos A)}

\frac{\cos^{2} A + 1 + \sin^{2} A + 2 \sin A}{(1 + \sin A) \cos A}

Did you find an error?

6. TBQ - Prove the following identites