Question

im not sure wheer to start and how to do solve this problem
solve: cosX(2sinX-3^1/2)=0 ,0<(or equal to)X<(or equal to)2(pie sign)

Answer 1

I read that as
cosx(2sinx - √3) = 0 , 0 ≤ x ≤ 2π

since it is already factored we can say
cosx=0 OR sinx = √3/2

if cosx = 0
<b>x = π/2 or x = 3π/2</b> , (90° or 270°)

if sinx = √3/2
then x must be in quadrants I or II
<b>x = π/3 or x = 2π/3</b> , (60° or 120°)

Answer 2

i didn't know how to put the root in so i converted it by adding in the 1/2 exponent! thank you :)