Using the exact values of the sine and cosine of both 2π/3 and π/4 and an angle sum identity, show that an exact value for cos (11π/12) is given by -(√2 + √6)/4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
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Using the exact values of the sine and cosine of both 2π/3 and π/4 and an angle sum identity, show that an exact value for cos (11π/12) is given by -(√2 + √6)/4.

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