What is the simplified value of (\frac{1+\tan^2 x}{1+\cot^2 x})?

Question

Answer and explanation

Correct answer: (\tan^2 x)

The numerator is (1+\tan^2 x=\sec^2 x) and the denominator is (1+\cot^2 x=\cosec^2 x). Their ratio is (\frac{\sec^2 x}{\cosec^2 x}=\tan^2 x).

What is the correct answer to this question?

(\tan^2 x)

Why is this the correct answer?

The numerator is (1+\tan^2 x=\sec^2 x) and the denominator is (1+\cot^2 x=\cosec^2 x). Their ratio is (\frac{\sec^2 x}{\cosec^2 x}=\tan^2 x).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.