Find the number of solutions of `4{x}=x+[x].`

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

Find the number of solutions to sin {x} = cos {x} , where {*} denotes the fractional part, in [0, 2pi] .

Find the number of solutions of abs([x]-2x)=4 , where [x] is the greatest integer le x.

Find the number of solutions of 2cos x=|sinx| when x in [0,4pi] .

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

Find the number of solutions of sin^(2) x cos^(2)x=1+cos^(2)x+sin^(4) x in the interval [0,pi]

Find the number of solutions for sinxtan4x=cosx , when x in (0,pi)

Find the number of solution of tan x + sec x =2 cos x in [0,2pi]

Find the number of solutions of x + y + z + w = 20 under the following conditions: 1) x,y,z,w are whole number 2) x,y,z,w are natural number

Find the number of solutions of the equation sinx=x^2+x+1.