Question

please answer it as early as possible​

Answer 1

Answer:

sin^2 A tan^2 A.

Step-by-step explanation:

From the properties of trigonometric ratios :

•         tanA = sinA / cosA
•         1 - cos^2 A = sin^2 A

Here,

⇒ tan^2 A - sin^2 A

⇒ ( tanA )^2 - sin^2 A

⇒ ( sinA / cosA )^2 - sin^2 A

⇒ sin^2 A [ 1 / cos^2 A - 1 ]

⇒ sin^2 A [ ( 1 - cos^2 A ) / cos^2 A ]

⇒ sin^2 [ sin^2 A ] / cos^2 A             From above, 1 - cos^2 A = sin^2 A

⇒ sin^2 ( sinA / cosA )^2

⇒ sin^2 A tan^2 A

Proved.