How can we derive the double-angle formulas for sine and cosine and use them to solve complex trigonometric equations?
Answer 1
Steven Garcia
To derive the double-angle formulas for sine and cosine, we start with the angle addition formulas: sin(2θ) = 2sin(θ)cos(θ) and cos(2θ) = cos²(θ) – sin²(θ). These formulas can simplify complex trigonometric equations by reducing the number of terms and making it easier to solve for unknown variables.
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