Answer:
x is 25
Step-by-step explanation:
sin(x+22)° = cos(2x-7)°
since,
sin theta = cos(90 - theta)
we can substitute that in (let theta = x + 22)
sin(x + 22) = cos(90 - (x+22))
we also know
sin(x+22) = cos(2x-7)
thus cos(90 - (x+22)) = cos(2x-7)
cos(90 - (x +22)) = cos(2x-7)
cos(90 - x -22) = cos(2x - 7)
cos(68 - x) = cos(2x - 7)
68 - x = 2x - 7
68 + 7 = 2x + x
75 = 3x
x = 75/3
x = 25
