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Maths Dr Frost trig help

It can be shown that sin2x(tanx+cotx)=2

express


(1-cos2x)^2(tan1/2x+cot1/2x)^3


in terms of sinx

(2 marks)

Since this is two marks i feel as if it should be easy however i have no idea where to start.
Reply 1
Original post by jderrien
It can be shown that sin2x(tanx+cotx)=2

express


(1-cos2x)^2(tan1/2x+cot1/2x)^3


in terms of sinx

(2 marks)

Since this is two marks i feel as if it should be easy however i have no idea where to start.


The tan(x/2)+cot(x/2) can be replaced from the first identity and you should know a double angle identity for the cos(2x) in terms of sin(x)
(edited 6 months ago)
Reply 2
Original post by mqb2766
The tan(x/2)+cot(x/2) can be replaced from the first identity and you should know a double angle identity for the cos(2x) in terms of sin(x)


still quite confused is there another way you can explain it. Thanks
Reply 3
Original post by jderrien
still quite confused is there another way you can explain it. Thanks


Using the first identity, how can you rewrite
tan(x/2)+cot(x/2)

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