Question

Question 22 (1 point)

Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 3)° = cos(x + 71).
15°, 85°
a
Oь
15°; 75°
Ос
75°; 105°
O
d
11°, 790

Answer 1

75,15

Explanation:

`\sin(90 - x) = \cos(x)`

`\sin(90 - (3x + 3) = \cos(x + 71)`

`90 - 3x - 3 = x + 71`

`87 =4 x + 71`

`16 = 4x`

`x = 4`

Plug in 4 for x and one of the angles we get are 75 and the other would be 15.