Question

Given the following cofunction sin(x - 3)° = cos(2x + 6)°, what is the measure of the smaller angle

Answer 1

Note :

sin(x) = cos (90-x)

Therefore,

sin(x-3) = cos(90-(x-3))

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29°