Home
Class 12
MATHS
If 6|sin x|= x when x in[0,2pi], then th...

If `6|sin x|= x` when `x in[0,2pi]`, then the number of solutions are

A

0

B

3

C

5

D

4

Text Solution

Verified by Experts

The correct Answer is:
D

We have `|sin x|=(x)/(6)`
Draw the graph of `y=|sin x|` and `y = (x)/(6)`

From the graph, there are four solutions between 0 and `pi`.
Promotional Banner

Similar Questions

Explore conceptually related problems

If 3sin x+3cos x=3+sin2x, x in[0,2 pi] then number of solution ( s) of given equation is

If x in[0,50 pi] , then the number of solutions of equation (3+sin x)^(2)+2cos^(2018)x=4 , is

If x in[0,(pi)/(2)] then the number of solutions of the equation sin7x+sin4x+sin x=0 is

If x in[0,2 pi] then the number of solution of the equation 81^(sin^(2)x)+81^(cos^(2)x)=30

If cos(x+pi/3)+cos x=a has real solutions, then (a) number of integral values of a are 3 (b) sum of number of integral values of a is 0 (c) when a=1 , number of solutions for x in [0,2pi] are 3 (d) when a=1, number of solutions for x in [0,2pi] are 2

If log_(0.5)sin x=1-log_(0.5)cos x, then the number of solutions of x in[-2 pi,2 pi] is

If 1+sin^(2)(x)/(2)=0 then find the number of solution if x in [-pi,pi]

If 0<=x<=2 pi, then the number of solutions of 3(sin x+cos x)-2(sin^(3)x+cos^(3)x)=8 is

If number of solutions of |sin x|=-x^(2)+2x when x in [0,pi] is m and when x in [pi,2 pi] is n then 2019 (m + n)=