Trigonometric Equations

Question

Solve the following equation on the interval [0°,360°). Separate multiple answers with a comma. Remember to include a degree symbol.

 

6cot²xcosx−2cosx=0

Answer 1

6 cot² cos x - 2 cos x = 0

2 cos x(3 cot² x - 1) = 0

cos x = 0

or

cot² x = 1 / 3

Can you solve for x and answer?

Answer 2

can see if cos(x)=0 equation is solved.

x=90, or 270

can see if cot(x)=(+/-) 1/√3 equation is solved

corrrected

x=60, or 240 for positive cot(x)

x=120, or 300 for negative cot(x)