Write the function f(alpha) = -sin(3alpha)-(root3cos(3alpha)) using a single sine function and use the result to find the zeros of f(alpha) in [0,2pi) and show all steps in the process.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 55E
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Write the function f(alpha) = -sin(3alpha)-(root3cos(3alpha)) using a single sine function and use the result to find the zeros of f(alpha) in [0,2pi) and show all steps in the process. 

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