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Emergent, please help in mathematics

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Emergent, please help!
View attachment 47796
I have no doubt in solving this problem as I have nearly finished the further. Yet I need to make sure I score all the method mark given. for ii), please take a look at the mark scheme as below.
View attachment 47797
Can anybody tell how to use the correct trig formulae to obtain a 3-term quadratic in tan sita, sin 2sita,cos 2sita, or tan2sita?

Very very time-limited, please reply quickly, thanks!!!!
 
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