Back to Prove angle sum formulas — Problem 3 · Task Set 80

Exercises: Prove Angle Addition Formulas for Sine, Cosine, and Tangent

Show all steps for each problem. Express exact values as fractions or simplified radicals (do not give decimal approximations unless the problem asks for one).

Grade 9·23 problems·~35 min·Common Core Math - HS Functions·group·hsf-tf-c-9
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Fluency Practice

1.

Use the addition formula to find the exact value of sin(75°)\sin(75\degree). Decompose 75°=45°+30°75\degree = 45\degree + 30\degree. Express your answer as a single simplified fraction with a radical numerator.