How do you derive the double angle formulas for sine, cosine, and tangent and apply them to solve complex trigonometric equations?
Answer 1
Dr. Crystal Matthews
To derive the double angle formulas for sine, cosine, and tangent, use the identities sin(2θ) = 2sin(θ)cos(θ), cos(2θ) = cos²(θ) – sin²(θ), and tan(2θ) = 2tan(θ)/(1-tan²(θ)). Apply these formulas by substituting them into trigonometric equations to simplify and solve for unknown angles.
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