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10-08-2021
Mathematics

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2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

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HumanBein HumanBein

10-08-2021

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

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