If 3 tan A - 5 cos B = and B = 90°, find the value of A.

3 tan A - 5 cos B = ⇒ 3 tan A - 5 cos 90° = ⇒ 3 tan A - 5 x 0 = ⇒ 3 tan A = ⇒ tan A = ⇒ tan A = ⇒ tan A = tan 30° Hence, A = 30°.

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Mathematics

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3 tan A - 5 cos B = $\sqrt3$

⇒ 3 tan A - 5 cos 90° = $\sqrt3$

⇒ 3 tan A - 5 x 0 = $\sqrt3$

⇒ 3 tan A = $\sqrt3$

⇒ tan A = $\dfrac{\sqrt3}{3}$

⇒ tan A = $\dfrac{1}{\sqrt3}$

⇒ tan A = tan 30°

Hence, A = 30°.

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