9
AssignmentMultiple Choice

Solving Trigonometric Equations

Question 9 • CREDIT RE-SEAT MNPS Integrated Math III IC S2 26-27

Solve 2sin2(x) – 5sin(x) – 3 = 0.Let u = sin(x).Which of the following is equivalent to the given equation?

Answer
A
(2u + 1)(u – 3) = 0
B
(2u + 3)(u – 5) = 0
C
(2u – 2)(u – 1) = 0

Explanation

Let u = sin(x), so sin²(x) = u². The equation becomes 2u² − 5u − 3 = 0, which factors as (2u + 1)(u − 3) = 0. This matches choice A.

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