Question

3) Prove that cot² X sec² = cot²+ 1.​

Answer 1

Step-by-step explanation:

cot^2 x + 1 = cos^2 x / sin^2 x + 1

= cos^2x + sin^2x // sin^2x

= 1 / sin^2x

multiply and divide by cos^2 x we get,

cot^2 x + 1 = cos^2 x / sin^2 x × 1 / cos^2 x

= cot ^2 x × sec^2 x