\; 1\, +\, ²\, A/1\, +\, ²\, A equals to:

CBSE Class 10 Standard Math 2026 All Sets Solved Paper

Question : 4 of 20

Marks: +1, -0

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

equals to:

Solution:

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

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

= \; \frac{\cos^2 A + \; \frac{\sin^2 A}{\cos^2 A}}{\sin^2 + \; \frac{\cos^2 A}{\sin^2 A}}

= \; \frac{\; \frac{1}{\cos^2 A}}{\; \frac{1}{\sin^2 A}}

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

= \tan^2 A

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