Find the solutions of the equation that are in the interval

Find the solutions of the equation that are in the interval [0, 2?). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

a.)

b.)

cot² ? ? sqrt3 / 3 cot ? = 0

Solution

a) cos(2x - pi/15) = 0 ========> 2x - pi/15 = pi/2, 3pi/2

So, 2x - pi/15 = pi/2 =======> x = 17*pi/60

and 2x - pi/15 = 3pi/2 =======> x = 47*pi/60

b) cot² sqrt3 /3cot = 0

cot² = sqrt3 /3cot

3cot³ = sqrt3

cot³ = 0.577

cot = 0.833

tan = 1.2

= 50.2, 230.2 degrees = 0.876, 4.02 radians