Question

Simplify (1-cos tita)(1+cos tita)(1-cos^2 tita)

Answer 1

Solution :

∴ (1 - cosθ) (1 + cosθ) (1 - cos²θ)

= (1 - cos²θ) (1 - cos²θ)

= sin²θ * sin²θ

= sin⁴θ ,

which is the required simplification.

Rules :

• (a + b) (a - b) = a² - b²
• sin²θ + cos²θ = 1
• xᵃ * xᵇ = xᵃ ⁺ ᵇ