Question

Use a graph to solve the equation on the interval [-2π, 2π]. PLEASE HELP ME.

cot x = -√3

Answer 1

Hmm, if you take the inverse of cot, then
cot^-1(cotx)= cot^-1(-√3)
x=cot^-1(-√3) is the same as, what degrees, if cotangent is used, will result into -√3?
It will result to 30 degrees. :)
BUT, the answer is in negative so, you must use angles with the reference angle 30 in 2nd and 4th quadrant because it is where the tangent and cotangent functions are negative. Then the answer, for me, would be 150 and 330. :)

Answer 2

Not trying to find degrees, trying to find answer in radians.

Answer 3

just convert it to radians: degrees*(pi/180)|
150(pi/180)= 5pi/6
330(pi/180)=11pi/6

Answer 4

Thank you!

Answer 5

Wait, would it be negative?