If the equation cos 3 x cos^(3) x + sin...

If the equation ` cos 3 x cos^(3) x + sin 3 x sin^(3) x =0` , then x is equal to

A

`(2n+1)""(pi)/(4)`

B

`(2n-1)""(pi)/(4)`

C

`(npi)/(4)`

D

None of these

Text Solution

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The correct Answer is:

A

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Knowledge Check

If the equation cos3xcos^(3)x+sin3xsin^(3)x=0 , then x is equal to

A

`(2n+1)(pi)/(4)`

B

`(2n-1)(pi)/(4)`

C

`(npi)/(4)`

D

None of these

The number of solutions in the interval [0, pi] of the equation sin^(3)x cos 3x+sin 3xcos^(3)x=0 is equal to

A

7

B

6

C

5

D

4

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