Home
Class 12
MATHS
If 0 le x le (pi)/(2), then the number ...

If `0 le x le (pi)/(2)`, then the number of value of x for which `sin x - sin 2x + sin 3x = 0`, is

A

A) 4

B

B) 3

C

C) 1

D

D) 2

Text Solution

Verified by Experts

The correct Answer is:
D
`sinx-sin2x+sin3x=0`
`rArr" "sinx-2sinxcosx+(3sinx-4sin3x)=0" "rArr" "sinx=0 or 1-2cosx+3-(1-cos^(2)x)=0`
`4cos^(2)-2cosx=0`
`cosx=0" or "cos x=1//2`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST - 1 (2020)

    VMC MODULES ENGLISH|Exercise MATHEMATICS - SECTION 2|5 Videos

  • JEE MAIN REVISION TEST - 30 | JEE -2020

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • JEE MAIN REVISION TEST - 1 | JEE - 2020

    VMC MODULES ENGLISH|Exercise MATHEMATICS ( SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

If 0 le x le 2pi , then the number of real values of x, which satisfy the equation cos x + cos 2x + cos 3x + cos 4x=0 , is

If 0 le x le 2pi , then the number of real values of x, which satisfy the equation cos x + cos 2x + cos 3x + cos 4x=0 , is

The number of solutions of the equation sin x . Sin 2x. Sin 3x=1 in [0,2pi] is

Find the set of values of x , which satisfy sin x * cos^(3) x gt cos x* sin^(3) x , 0 le x le 2pi .

Find the set of values of x , which satisfy sin x * cos^(3) x gt cos * sin^(3) x , 0 le x le 2pi .

Find the number of solutions for the equation sin 5x+sin 3x+sin x=0 for 0 le x le pi .

Find the number of solutions of |cos x|=sin x , 0 le x le 4 pi

Find the number of solutions of cos x =|1+ sin x |, 0 le x le 3 pi

For -(pi)/(2)le x le (pi)/(2) , the number of point of intersection of curves y= cos x and y = sin 3x is

If cos x=sqrt(1-sin 2x),0 le x le pi then a value of x is