prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 88E
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prove that

sin⁴x - sin²3x+sinx-3 = 0

has no solution.

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