Question

For what x does sin 2x = cos 2x?

Answer 1

Answer:

Step-by-step explanation:

sin45° = cos 45°

sin 2x = cos 2x

2x = 45

x = 22.5°

Answer 2

The value of ∠ x is equal to 22.5°.

Step-by-step explanation:

We have,

$\sin 2x=\cos 2x$

To find, the value of ∠ x = ?

∴ $\sin 2x=\cos 2x$

⇒ $\sin 2x=\sin (90-2x)$

Using the trigonometric identity,

$\cos A=\sin (90-A$

⇒ 2x = 90° - 2x

⇒ 2x + 2x = 90°

⇒ 4x = 90°

⇒ $x=\dfrac{90}{4} =\dfrac{45}{2}$

⇒ x = 22.5°

∴ The value of ∠ x = 22.5°

Thus, the value of ∠ x is equal to 22.5°.