Question

In the following question, two statements (i) and (ii) are given. Choose the valid statement.

1. sin² θ + cos² θ = 1
2. cosec² θ + cot² θ = 1

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Only (i)

Explanation:

This is the fundamental Pythagorean Identity. It is derived from the Pythagorean theorem (a² + b² = c²) applied to a unit circle, where the x-coordinate is cos θ and the y-coordinate is sin θ.