If tan A = 2 3 , then sin 4 A =

Question

If tan A = 2 3 , then sin 4 A =, 8 27, 120 169, 144 169, 16 27

MARKS App · Accepted Answer

Given: tan A = 2 3 Now, cos 2 A = 1 - tan 2 A 1 + tan 2 A ⇒ cos 2 A = 1 - 4 9 1 + 4 9 ⇒ cos 2 A = 5 13 Also, sin A = 2 13 and cos A = 3 13 So, sin 4 A = 2 sin 2 A cos 2 A ⇒ sin 4 A = 4 sin A cos A cos 2 A ⇒ sin 4 A = 4 × 2 × 3 13 × 5 13 ⇒ sin 4 A = 120 169

Search any question & find its solution

Looking for more such questions to practice?