C3 edexcel Maths help needed

Prove the identity:

Tan(A/2) + Cot(A/2) = 2cosecA

I used the substitution A/2 =x

And I have so far got to 2/sin2x = 2cosecA, manipulating RHS

My mate showed me how to do it, but I didn't copy the solution from him, I know I'm close.

Reply 1

BlueSam3

Put the LHS in terms of

\sin

and

\cos

Reply 2

Vorsah

Original post by BlueSam3

Put the LHS in terms of

\sin

and

\cos

I have already done that: (sinX/cosX) + (cosX/sinX)

Then I added them and got 1/cosXsinX

Then times top and bottom by 2 = 2/sin2X

From here I need help, I know I'm close but I'm not getting it

(edited 10 years ago)

Any1?

Original post by Vorsah

I have already done that: (sinX/cosX) + (cosX/sinX)

Then I added them and got 1/cosXsinX

Then times top and bottom by 2 = 2/sin2X

From here I need help, I know I'm close but I'm not getting it

Then you are done.

cosec(x) = \frac{1}{sin(x)}

, and

2x = A

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