If sin(4x–10)° = cos(40-x)°, then x = 20
Option C is correct
What is a trigonometric equation?
The given trigonometric equation is:
sin(4x–10)° = cos(40-x)°..................(1)
Note that:
sin θ = cos (90 - θ)
Therefore:
sin(4x - 10) = cos(90-(4x - 10))
sin(4x - 10) = cos(100 - 4x)................(2)
Compare equations (1) and (2)
cos(40-x) = cos(100 - 4x)
40 - x = 100 - 4x
-x + 4x = 100 - 40
3x = 60
x = 60/3
x = 20
Learn more on trigonometry here: https://brainly.com/question/20519838
