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sinx. Cosx. Cos2x​= K has a solution, if K belong to the interval ​

sinx. Cosx. Cos2x​= K has a solution, if K belong to the interval

Grade:12th pass

1 Answers

sonika p
129 Points
4 years ago
sinx.cox.cos2x = k
Multiplying by 2 on both sides, 
2*sinx.cox.cos2x =2* k
sin2x.cos2x = 2k
Multiplying by 2 on both sides,
2*sin2x.cos2x = 2*2k
sin4x = 4k
interval of sin4x, -1
therefore, -1
-1/4
interval of k is [-0.25,0.25]

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