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Mathematics

Find the value of angle A, if :

(i) sin 2A = 1

(ii) 2 sin 2A = 1

(iii) 2 sin A = 1

Trigonometrical Ratios

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Answer

(i) sin 2A = 1

⇒ sin 2A = sin 90°

⇒ 2A = 90°

⇒ A = 90°2\dfrac{90°}{2}

⇒ A = 45°

Hence, the value of A = 45°.

(ii) 2 sin 2A = 1

⇒ sin 2A = 12\dfrac{1}{2}

⇒ sin 2A = sin 30°

⇒ 2A = 30°

⇒ A = 30°2\dfrac{30°}{2}

⇒ A = 15°

Hence, the value of A = 15°.

(iii) 2 sin A = 1

⇒ sin A = 12\dfrac{1}{2}

⇒ sin A = sin 30°

⇒ A = 30°

Hence, the value of A = 30°.

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