Step 1
Write the equation
sin(7x + 1) = cos(x + 33)
Step 2
From the complementary angle theorem
sinx = cos(90 - x)
Therefore
sin(7x + 1) = cos(x + 33)
cos(90 -[7x + 1]) = cos(x + 33)
cos(90 - 1 - 7x) = cos(x + 33)
cos(89 - 7x) = cos(x + 33)
89 - 7x = x + 33
89 - 33 = x + 7x
56 = 8x
x = 56/8
x = 7
sin(7x + 1)
sin(7x7 + 1)
sin(49 + 1)
sin50
cos(x + 33)
cos(7+33)
cos40
Angle 1 = 50
Angle 2 = 40