Check sin 2x sin 4x sin 6x. From question 8 sin 2x cos 4x sin 6x. 29Ex 33 12 Prove that sin2 6 sin2 4 sin2 sin10 Solving LHS. We know that sin A sin B 2 sin 2 A B cos 2 A B LHS 2 sin 2 6 x 4 x cos 2 6 x 4 x 2 cos 2 6 x 4 x sin 2 6 x 4 x 2 sin 2 1 0 x cos 2 2 x 2 cos 2 1 0 x sin 2 2 x. Check also: reference and sin 2x sin 4x sin 6x Sin4x0 or cos2x-12-cos pi3cos pi-pi3.
LHS sin6x - sin4x Use the formula a - b a - ba b sin6x -sin4xsin6x sin4x Now Use the formula sinC sinD 2sinCD2cosC-D2 sinC - sinD 2cosCD2sinC-D2 2cos6x4x2sin6x-4x22sin6x4x2cos6x-4x2 2cos5xsinx. 12Correct answer - cefsin 2x sin 4x sin 6x0tan 0 tan 20 tan 30 0sin 2x.
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But 2nd and 3rd was unable to solve.
26selected Sep 26 2018 by Vikash Kumar. Derive the values for sin pi 1 2 I solved the 1 st part as bellow. 8 sin 2x cos 4x sin 6x is 2. Please check the expression entered or try another topic. 2 sin 4x cos 2x 2 sin 4x. 22sin2xsin4xsin6x 12cos2xsin4x Using sum to product identities LHSsin6xsin2xsin4x sinsin2 sin 2 cos -2 LHSsin4x2 sin 6x2x2 cos 6x-2x2 sin4x 2 sin4xcos2x sin4x 12cos2x geometry trigonometry.
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