Tutorial Exercise Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). sin(20)+cos(0) 0 Step 1 To begin, we need to rewrite the given equation such that all trigonometric functions are functions of instead of 20. Recall the Double-Angle Formulas for sine, cosine, and tangent. Formula for sine: sin(2x) = 2 sin(x) cos(x) cos(2x)= cos(x) - sin²(x) = 1-2 sin²(x) = 2 cos²(x) - 1 Formula for cosine: Formula for tangent: tan(2x)= 2 tan(x) 1tan²(x) The formula for sine can be used to achieve our goal. Substitute (2 sin(0) cos(0)) for sin(20) in the given equation. sin(20)+cos(0) = 0 sin(0) cos(0))+ cos(0) = 0

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