MathSimpler
Trigonometric Identity Calculator
Calculate double angle, half angle, sum-to-product, product-to-sum, and triple angle formulas with step-by-step solutions.
Input Expression:
sin(2 × 30°)
Formula Used:
sin(2α) = 2sin(α)cos(α)
Symbolic Result:
2sin(α)cos(α)
Numerical Result:
0.866025
Step-by-Step Solution:
  1. Calculate sin(2α) where α = 30°
  2. sin(α) = sin(30°) = 0.500000
  3. cos(α) = cos(30°) = 0.866025
  4. sin(2α) = 2 × 0.500000 × 0.866025 = 0.866025

Quick Examples to Try:

Double Angle: sin(2 × 30°) = sin(60°)
Half Angle: cos(30°/2) = cos(15°)
Sum to Product: sin(70°) + sin(10°)
Product to Sum: sin(50°) × cos(20°)