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Mathematics

Solve for x :

2 cos 3x - 1 = 0

Trigonometric Identities

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Answer

2 cos 3x - 1 = 0

⇒ 2 cos 3x = 1

⇒ cos 3x = 12\dfrac{1}{2}

⇒ cos 3x = cos 60°

So, 3x = 60°

⇒ x = 60°3=20°\dfrac{60°}{3} = 20°

Hence, x = 20°.

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