How do you derive and apply the Double Angle Formula for sine and cosine in trigonometric integration problems?
Answer 1
Cynthia King
The Double Angle Formulas for sine and cosine are derived from the sum formulas: sin(2θ) = 2sin(θ)cos(θ) and cos(2θ) = cos²(θ) – sin²(θ). These formulas simplify integrals involving trigonometric functions by allowing substitution, facilitating easier integration.
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