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# Trigonometry question - I'm stuck! watch

Prove that:

cot 2x + cosec 2x = cot x

At first I thought it looked ok, but I seem to get stuck with cos at the end.... My brain isn't functioning today. (Maths exam on monday!!)

Thanks

Laura xxx
2. LHS = cos2x/sin2x + 1/sin2x
= (cos2x+1)/sin2x
= (2cos²x-1+1)/(2sinxcosx)
= (2cos²x)/(2sinxcosx)
= cosx/sinx
= cotx = RHS

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