Question

If tan^2 45°-cos^2 30 = xsin45 cos45° then x =?​

Answer 1

EXPLANATION.

Evaluate :

⇒ tan²45° - cos²30° = x sin45°.cos45°.

As we know that,

Formula of :

⇒ tan45° = 1.

⇒ cos30° = √3/2.

⇒ sin45° = 1/√2.

⇒ cos45° = 1/√2.

Using this formula in the equation, we get.

⇒ (1)² - (√3/2)² = x(1/√2)(1/√2).

⇒ 1 - 3/4 = x/2.

⇒ (4 - 3)/4 = x/2.

⇒ 1/4 = x/2.

⇒ 4x = 2.

⇒ 2x = 1.

⇒ x = 1/2.