How can we derive the double angle formulas for sine and cosine from the unit circle definitions of these functions?
Answer 1
Lori Smith
To derive the double angle formulas for sine and cosine from the unit circle definitions, consider a point (cos θ, sin θ) on the unit circle. Using angle addition formulas, sin(2θ) = 2sin(θ)cos(θ) and cos(2θ) = cos²(θ) – sin²(θ) are derived.
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