- LHS - 2 sin 2 40 Cos 80 2 sin? 20...
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- LHS - 2 sin 2 40 Cos 80 2 sin? 20 LHS - (2 sin 40 cos 40) sin 40 cos 80 2 sina 20 > x

JEE/Engineering Exams
Maths
Solution
138
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Hene ( frac{2 sin ^{2} 4 theta cos 4 theta}{cos 8 theta times 2 sin ^{2} 2 theta} ) So, ( frac{2 sin 4 theta times sin 4 theta times cos 4 theta}{cos 8 theta times 2 sin ^{2} 2 theta} ) ( Rightarrow frac{2 sin 4 theta cos 4 theta}{cos 8 theta} times frac{sin 4 theta}{2 sin ^{2} 2 theta} ) a ( sin 8 theta=2 sin 4 theta cos 4 theta ) ( sin 4 theta=2 sin theta cos 2 theta ) So, ( quad frac{sin 8 theta}{cos 8 theta} times frac{x sin 2 theta cos 2 theta}{x sin ^{2} 2 theta} ) ( =tan 8 theta times cot 2 theta )
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