Verify the given trigonometric equation — task. Maths CBSE Live product, Pre-Crash Course.

Answer variants:

\sqrt{\frac{1 + \sin x}{1 - \sin x} \times \frac{1 - \sin x}{1 - \sin x}}

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

\sqrt{\frac{{(1 + \sin x)}^{2}}{1 - \sin^{2} x}}

\sqrt{\frac{{(1 + \sin x)}^{2}}{1 + \sin^{2} x}}

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

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

\sqrt{\frac{1 + \sin x}{1 - \sin x} \times \frac{1 + \sin x}{1 + \sin x}}

Verify that

\sqrt{\frac{1 + \sin x}{1 - \sin x}}

\(=\)

\sec x + \tan x

Proof:

LHS \(=\)

\sqrt{\frac{1 + \sin x}{1 - \sin x}}

\(=\)

\sec x + \tan x

\(=\) RHS

Did you find an error?

7. Verify the given trigonometric equation