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How can I solve this C3 Trigonometric question? (June 2015, Question 8, AQA)

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1. The Question is Attached
http://www.thestudentroom.co.uk/atta...1&d=1462282370

Show: 4cosec^2x - cot^2x = k can be written as sec^2x = (k-1)/(k-4)
2. (Original post by Itsallaconundrum)
The Question is Attached
http://www.thestudentroom.co.uk/atta...1&d=1462282370

Show: 4cosec^2x - cot^2x = k can be written as sec^2x = (k-1)/(k-4)
3. (Original post by RUNSran)
Thank you so much!

Very kind of you to write it out, I appreciate it

But this is quite complex, is there a way I can get my reasoning in a way to answer any similar questions which are equally as complex?
4. (Original post by Itsallaconundrum)
Thank you so much!

Very kind of you to write it out, I appreciate it
You are welcome

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