Find value of x, if : cos(2x - 6°) = cos² 30° - cos² 60°

Question

KnowledgeBoat · Accepted Answer

Solving, ⇒ cos(2x - 6°) = cos² 30° - cos² 60° ⇒ cos(2x - 6°) = ⇒ cos(2x - 6°) = ⇒ cos(2x - 6°) = ⇒ cos(2x - 6°) = ⇒ cos(2x - 6°) = cos 60° ⇒ 2x - 6° = 60° ⇒ 2x = 66° ⇒ x = 33°. Hence, x = 33°.

Mathematics

Find value of x, if :
cos(2x - 6°) = cos² 30° - cos² 60°

Trigonometric Identities

Related Questions

Find value of x, if :
sin 3x = 2 sin 30° cos 30°

In each case given below, find the value of angle A, where 0° ≤ A ≤ 90°.
(i) sin (90° - 3A). cosec 42° = 1
(ii) cos (90° - A). sec 77° = 1

Mathematics

Find value of x, if :cos(2x - 6°) = cos2 30° - cos2 60°

Trigonometric Identities

Related Questions

Find value of x, if :sin 3x = 2 sin 30° cos 30°

In each case given below, find the value of angle A, where 0° ≤ A ≤ 90°.(i) sin (90° - 3A). cosec 42° = 1(ii) cos (90° - A). sec 77° = 1

Find value of x, if :
cos(2x - 6°) = cos² 30° - cos² 60°

Find value of x, if :
sin 3x = 2 sin 30° cos 30°

In each case given below, find the value of angle A, where 0° ≤ A ≤ 90°.
(i) sin (90° - 3A). cosec 42° = 1
(ii) cos (90° - A). sec 77° = 1