Explain the given trigonometric equation by matching correct options — task. Maths CBSE Live product, Class 10 (2025-26).

Answer variants:

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

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

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

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

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

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

Prove that

\frac{1 + \tan^{2} A}{1 + \cot^{2} A}

\(=\)

\tan^{2} A

Proof:

LHS \(=\)

\frac{1 + \tan^{2} A}{1 + \cot^{2} A}

\(=\)

\tan^{2} A

\(=\) RHS

Did you find an error?

6. Explain the given trigonometric equation by matching correct options