The value of x in expression cos(2x-1) = sin(3x+6) is 17.
cos(2x-1) = sin(3x+6)
let
a = 2x - 1
b = 3x + 6
Therefore,
cos a = sin b
Therefore, a and b are complimentary.
What is complimentary angle?
Complimentary angles are angles that sum up to 90 degrees. Therefore,
2x - 1 + 3x + 6 = 90
2x + 3x - 1 + 6 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 / 5
x = 17
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