Question

What is the value of x? sin(x+34)°=cos(2x+20)° Enter your answer in the box. x =

Answer 1

Answer:

The correct answer is -9.73°.

Step-by-step explanation:

The procedure is:

sin(x + 34)°=cos(2x+20)°

⇒ tan$\frac{x+34}{2x+20}$ = 1 ; [assuming cos (2x+20)° $\neq$0]

⇒ x + 34 = 45 × ( 2x +20)

⇒ x + 34 = 90x + 900

⇒ 89x = -866

⇒ x = -9.73

and also 2x + 20 = 90° ⇒ x = 35°; but this does not satisfy the given equation.

Therefore the value of x is given by -9.73°.