cos 4x 1 8 sin 2xcos 2x Join Teachoo Black Ex 3 3 24 Prove that cos 4 1 8sin2 cos2 Solving L H S cos 4x 2 cos 2x 2 1 2 2 cos2 x 1 2 1 We
cos 2 cos 2 sin 2 1 2 sin 2 1 2 sin 2 x 2 sin 2 x 2 sin x cos x 1 8 sin 2 x cos 2 x RHS Hence cos 4 x 1 8 sin 2 x cos 2 x Use the half angle identity cos2 1 2sin2 Replace by 2x cos4x 1 2sin2 2x Rearrange that sin2 2x 1 2 1 cos4x LHS 1 4 1 2 1 cos4x 1
cos 4x 1 8 sin 2xcos 2x
cos 4x 1 8 sin 2xcos 2x
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Pembuktian Cos2x cos 2x sin 2x Dan Sin 2x 2sinxcosx Trigonometry
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Prove That Sin 8x cos 8x 1 2sin 2xcos 2x sin 2x cos 2x Brainly in
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Sin2x 1 2 1 cos 2x cos2x 1 2 1 cos 2x It follows that sin2xcos2x 1 2 1 cos 2x 1 2 1 cos 2x Combining like terms sin2xcos2x 1 Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more
sin 2 2x cos 2 8x frac 1 2 cos10x Use formula sin 2 alpha frac 1 cos 2 alpha 2 cos 2 alpha frac 1 cos 2 alpha 2 frac 1 cos 4x 2 frac 1 cos 1 2 sin 2 2x cos 2A 1 2 sin 2 A 1 2 2 sin x cos x 2 sin2A 2sin A cosA 1 2 4 sin 2 x cos 2 x 1 8 sin 2 x cos 2 x
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cos 4x 1 8 sin 2xcos 2x - Sin2x 1 2 1 cos 2x cos2x 1 2 1 cos 2x It follows that sin2xcos2x 1 2 1 cos 2x 1 2 1 cos 2x Combining like terms sin2xcos2x 1