Respuesta :

nkirotedoreen46

Answer:

x = 15°

Step-by-step explanation:

We are given;

sin(2x + 7) = cos(4x - 7)

We are required to solve for the value of x

  • We need to know that for complementary angles;

Sin θ = Cos (90-θ) where, θ  and 90-θ are complementary angles.

  • Complementary angles are angles that add to 90°
  • Therefore;

(2x +7) + (4x - 7) = 90

 6x = 90

   x = 15°

Therefore, the value of x is 15°

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