If 2 cos (A - B) = 2 sin (A + B) = ; find the values of acute angles A and B.

Given: 2 cos (A - B) = 2 sin (A + B) = ⇒ 2 cos (A - B) = ⇒ cos (A - B) = ⇒ cos (A - B) = cos 30° ⇒ A - B = 30° ......................(1) And, 2 sin (A + B) = ⇒ sin (A + B) = ⇒ sin (A + B) = sin 60° ⇒ A + B = 60° ......................(2) Add equations (1) and (2), we get Putting the value of A in equation (1), we get ⇒ 45° - B = 30° ⇒ B = 45° - 30° ⇒ B = 15° Hence, the value of A = 45° and B = 15°.

If 3 cos A = 4 sin A: find the value of :
4 cos² A - 3 sin² A + 2

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If 4 cos² A - 3 = 0 and 0° ≤ A ≤ 90°; find:
(i) angle A
(ii) cos 3 A
(iii) tan² A + cos² A

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Mathematics

If 2 cos (A - B) = 2 sin (A + B) = ; find the values of acute angles A and B.

Trigonometrical Ratios

Related Questions

If 3 cos A = 4 sin A: find the value of :
4 cos² A - 3 sin² A + 2

If 4 cos² A - 3 = 0 and 0° ≤ A ≤ 90°; find:
(i) angle A
(ii) cos 3 A
(iii) tan² A + cos² A

Mathematics

If 2 cos (A - B) = 2 sin (A + B) = ; find the values of acute angles A and B.

Trigonometrical Ratios

Related Questions

If 3 cos A = 4 sin A: find the value of :4 cos2 A - 3 sin2 A + 2

If 4 cos2 A - 3 = 0 and 0° ≤ A ≤ 90°; find:(i) angle A(ii) cos 3 A(iii) tan2 A + cos2 A

If 3 cos A = 4 sin A: find the value of :
4 cos² A - 3 sin² A + 2

If 4 cos² A - 3 = 0 and 0° ≤ A ≤ 90°; find:
(i) angle A
(ii) cos 3 A
(iii) tan² A + cos² A