Question

a Write sin 2A in terms of tan A.​

Answer 1

Answer:

Explanation:

We will learn how to express the multiple angle of sin 2A in terms of tan A.

Trigonometric function of sin 2A in terms of tan A is also known as one of the double angle formula.

We know if A is a number or angle then we have,

sin 2A = 2 sin A cos A

⇒ sin 2A = 2 sinAcosA ∙ cos2 A

⇒ sin 2A = 2 tan A ∙ 1sec2A

⇒ sin 2A = 2tanA1+tan2A

There for sin 2A = 2tanA1+tan2A

Answer 2

Answer:

sin 2A =  2tanA / 1+tan2A

Explanation:

sin 2A = 2 sin A cos A

⇒ sin 2A = 2  sinAcosA ∙ cos2 A

⇒ sin 2A = 2 tan A ∙  1/sec2A

⇒ sin 2A = 2tanA/1+tan2A

There fore sin 2A =  2tanA / 1+tan2A