Use the exact value of cos (11π/6) and the half-angle identity for sine to show that an exact value of sin (11π/12) is given by √2−√3 /  2. (The square root before the 2 extends over the top of the whole numerator)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 16E
Question

Use the exact value of cos (11π/6) and the half-angle identity for sine to show that an exact value of sin (11π/12) is given by √2−√3 /  2. (The square root before the 2 extends over the top of the whole numerator)

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