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Maths Trig Identities

I literally cannot do this, I've tried all I can think of, someone please help...

Prove the identity:

(cosx/1-tanx) + (sinx/1-cotx) = sinx +cosx

I simplify the LHS but get stuck and I can't work backwards from RHS....

Reply 1

98701

Found this maybe this helps ?

https://socratic.org/questions/how-do-you-verify-cosx-1-tanx-sinx-1-cotx-sinx-cosx

Reply 2

Yodalam

Hi,

So first, you convert everything in terms of cos and sin.

Then, you can solve from there by spotting the difference in 2 squares and eventually cancels out with the denominator to give you the answer.