Question

If cos (45°+ x) = sin 30°, then x=?​

Answer 1

cos(45° + x) = sin 30° [Given]

=> cos(45° + x) = sin(90° -60°)

=> cos(45° + x) = cos 60°

sin (90° - ∅) = cos ∅

=> 45° + x = 60°

=> x = 60° - 45°

=> x = 15°

Answer 2

Answer:

The value of x is 15°

Step-by-step explanation:

Here we have been given the sum to find the value of unknown x here which satisfies the given equation;

cos (45°+ x) = sin 30°

Now as we know that,

sin (90° - θ) = cos θ

∴ cos(45 ° + x) = sin ( 90° - 60°)

⇒ cos (45 ° + x) = cos 60°

Comparing the angles on both sides we have:

45° + x = 60°

⇒ x = 60° - 45°

⇒ x = 15°

Hence the value of x is 15°