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Question

(i) In any ΔABC, prove that sin(BC)sin(B+C)=b2c2a2

(ii) Prove that cos A cos(60A)cos(60+A)=14cos3A

Or

Find the value of

(i) tan13π12

(ii) sin360

(iii) cos18

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Solution

(i) 23

(ii) 10254

(iii) 10+54


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