If sin x = cos x and x is acute, state the value of x.

Question

KnowledgeBoat · Accepted Answer

sin x = cos x As we know that sin2 x \+ cos2 x = 1 ⇒ sin2 x \+ sin2 x = 1 ⇒ 2sin2 x = 1 ⇒ sin2 x = ⇒ sin x = ⇒ sin x = sin 45° ⇒ x = 45° Hence, the value of x = 45°.

Mathematics

If sin x = cos x and x is acute, state the value of x.

Trigonometric Identities

Related Questions

Prove that :
sin 60° = 2 sin 30° cos 30°.

Prove that :
4 (sin⁴ 30° + cos⁴ 60°) - 3 (cos² 45° - sin² 90°) = 2

If sec A = cosec A and 0° ≤ A ≤ 90°, state the value of A.

If tan θ = cot θ and 0° ≤ θ ≤ 90°, state the value of θ.

Mathematics

If sin x = cos x and x is acute, state the value of x.

Trigonometric Identities

Related Questions

Prove that :sin 60° = 2 sin 30° cos 30°.

Prove that :4 (sin4 30° + cos4 60°) - 3 (cos2 45° - sin2 90°) = 2

If sec A = cosec A and 0° ≤ A ≤ 90°, state the value of A.

If tan θ = cot θ and 0° ≤ θ ≤ 90°, state the value of θ.

Prove that :
sin 60° = 2 sin 30° cos 30°.

Prove that :
4 (sin⁴ 30° + cos⁴ 60°) - 3 (cos² 45° - sin² 90°) = 2