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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

Respuesta :

Answer:

75,15

Step-by-step explanation:

[tex] \sin(90 - x) = \cos(x) [/tex]

[tex] \sin(90 - (3x + 3) = \cos(x + 71) [/tex]

[tex]90 - 3x - 3 = x + 71[/tex]

[tex]87 =4 x + 71[/tex]

[tex]16 = 4x[/tex]

[tex]x = 4[/tex]

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

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