Question

ANyone know how to do this?

Answer 1

the answer is cosec^2(x)

Answer 2

how?

Answer 3

I'll explain just now

Answer 4

okay..

Answer 5

is it tan^2x

Answer 6

you've got (1+tan^2x)(cosec^2-1), rite, now change tan^2x to sin^2x/cos^2x
ans cosec^2x is a reciprocal identity of sin so it will be 1/sin^2x

Answer 7

Use csc^2 (x) - 1 = cot^2(x)

Original Expression--> (tan^2(x) + 1)(cot^2(x)) --> 1 + cot^2(x)

Use cot^2(x) + 1 = csc^2(x)

--> Final Answer = csc^2(x)

Answer 8

thanks both!!