Question

Verify the identity: sin x/tan x + cos x/cot x = sin x + cos x

Answer 1

We know that tanx = sinx/cosx. Therefore sinx/tanx = sinx * cosx/sinx = cosx.

We also know that cotx = 1/tanx = cosx/sinx. Hence cosx/cotx = cosx * sinx/cosx = sinx.

Overall, this makes sinx + cosx.

Hope this helps :)