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if cos(2x-1)=sin(3x+6) the what is the value of x?

Sagot :

Hypatia
2x - 1 + 3x + 6 = 90°
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85/5
x = 17°

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

learn more on trigonometry here: https://brainly.com/question/2193114

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