Question

which are all the solutions of 5sinθ-4=2sinθ-4, where 0≤θ≤2π

Answer 1

5sinx-4 =2sinx-4
5sinx-2sinx= 4-4
3sinx=0
sinx=(0÷3)
sinx = 0
x = sin^-1 (0)
x= 0 degrees

And also x = (180- 0 ) = 180 degrees


so x; has 2 answers within the above given interval.

They are;
x= 0 degrees and x=180 degrees