Power Reducing Formula (Trigonometry)

Math

Power-reducing formulas convert higher powers of trig functions to first power (for integration).

Formula

sin²(θ) = (1 - cos(2θ))/2; cos²(θ) = (1 + cos(2θ))/2

sin²(30°)

Inputs
  • Function: sin2
  • θ (degrees): 30

(1 - cos(60°))/2 = 0.25

Frequently asked questions

Why use these?
To integrate powers of trig functions