If sin x = cos(3x - 20), what is the value of x?
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 27.5
sin x = cos(3x − 20°)
cos θ = sin(90° − θ)
sin x = sin[90° − (3x − 20°)]
sin x = sin(110° − 3x)
For principal values:
x = 110° − 3x
4x = 110°
x = 27.5°
Therefore, x = 27.5°