Verify the given trigonometric equation — task. Maths CBSE Live product, Class 10 (2025-26).

Answer variants:

\sqrt{\frac{{9 (1 + \cos α)}^{2}}{\sin^{2} α}}

\sqrt{\frac{{9 (1 + \cos α)}^{2}}{1 + \cos^{2} α}}

\sqrt{\frac{9 (1 + \cos α)}{1 - \cos α} \times \frac{1 + \cos α}{1 + \cos α}}

3 (\frac{1}{\sin α} + \frac{\cos α}{\sin α})

\sqrt{\frac{9 + \cos α}{1 - \cos α} \times \frac{1 - \cos α}{1 - \cos α}}

\sqrt{\frac{{9 (1 + \cos α)}^{2}}{1 - \cos^{2} α}}

3 (\frac{1 + \cos α}{\sin α})

Verify that

\sqrt{\frac{9 + 9 \cos α}{1 - \cos α}}

\(=\)

3 (cosec α + \cot α)

Proof:

LHS \(=\)

\sqrt{\frac{9 + 9 \cos α}{1 - \cos α}}

\(=\)

3 (cosec α + \cot α)

\(=\) RHS

Did you find an error?

2. Verify the given trigonometric equation