Solve sin(4x)cos(8x) - cos(4x)sin(8x) = -0.8 for the smallest positive solution. x = ??? The answer should be accurate to two decimal places

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 106E
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Solve sin(4x)cos(8x) - cos(4x)sin(8x) = -0.8 for the smallest positive solution.

x = ???

The answer should be accurate to two decimal places

Expert Solution
Step 1

The given equation is sin4xcos(8x)-cos(4x)sin(8x)=-0.8.

It is known that,

sinA-B=sinAcosB-cosAsinB              (1).

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