Identify all values of t E (0,2pi] that satisfy tan(t)=-square root of 3
I need an example to help me solve this

Question

Identify all values of t E (0,2pi] that satisfy tan(t)=-square root of 3
I need an example to help me solve this

campbell_st · Answer

well the angles you are looking for are in the 2nd quadrant 

$$\pi - \theta$$

and 4th quadrant 

$$2\pi - \theta$$

this is because these are the quadrants where tan is negative. 

you question involves and exact value 

|dw:1392266850688:dw|


so find the answer for the postive have of tan from the triangle above

then the answers are 

pi - answer

2pi - answer. 

hope it helps