+1 vote
in JEE by kratos

If sin x + sin2x = 1, then find the value of

cos12x + 3 cos10x + 3 cos8x + cos6x – 1

1 Answer

+2 votes
by kratos
 
Best answer

cos12x + 3 cos10x + 3 cos8x + cos6x – 1

= (cos4x + cos2x)3 – 1

= (sin2x + sinx)3 – 1 [∵ cos2x = sin x]

= 1 – 1 = 0

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