Home
Class 12
MATHS
If the equation cos3xcos^(3)x+sin3xsin^(...

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

`(npi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

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

Solve : cos 3x. Cos^(3)x+sin 3x.sin^(3)x=0

Knowledge Check

  • 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

  • int sin^(3)x cos^(3)x dx is equal to

    A
    `(1)/(32)[-(3)/(2)cos 2x+(1)/(6)cos 6x]+C`
    B
    `(1)/(16)[-(3)/(2)cos 2x+(1)/(6)cos 6x]+C`
    C
    `(1)/(64)[-(3)/(2)cos 2x +(1)/(6)cos 6x]+C`
    D
    None of the above

  • intsin^(3)x.cos^(2)xdx is equal to

    A
    `(sin^(5)x)/(5)-(sin^(3)x)/(3)+C`
    B
    `(sin^(5)x)/(5)+(sin^(3)x)/(3)+C`
    C
    `(cos^(5)x)/(5)-(cso^(3)x)/(3)+C`
    D
    `(cos^(5)x)/(5)+(cos^(3)x)/(3)+C`

    • Similar Questions

    Explore conceptually related problems

    sin^(3)xcos^(3)x

    Solve the equation sin^(3)x*cos3x+cos^(3)x*sin3x+(3)/(8)=0

    The number of solutions of the equation 2cos^(2)x+3sin x-3=0,x in(0,2 pi) is

    int "sin"^3 x"cos"^3 x dx is equal to

    If y=cos2xcos3x , then y_(n) is equal to

    Home
    Profile