Question

The value of `(sin^4θ - cos^4θ)/(sin^2θ - cos^2θ)` is ______.

Answer 1

The value of `(sin^4θ - cos^4θ)/(sin^2θ - cos^2θ)` is 1.

Explanation:

Factor the numerator as (sin²θ – cos²θ)(sin²θ + cos²θ) and cancel the common (sin²θ – cos²θ) for values where it ≠ 0, giving sin²θ + cos²θ = 1.