How Does Quadrant Affect Values in Trigonometric Functions?

[CrossFit415]

How would I find cos for tan when..

Tan b = (-√3)

Theta lies in quadrant iii

Sin b would equal (-√3) / 2

So Cos b would equal -1 / 2?

 

[iRaid]

y: -√3
x: 1
r: √2 > from x² + y²

cos = x/r

Answer: ?

 

[Mark44]

How would I find cos for tan when..

Tan b = (-√3)

Theta lies in quadrant iii

What does theta have to do with anything? Assuming that you meant b instead of theta, if tan(b) = -√3, then b is in quadrant II or quadrant IV.

Sin b would equal (-√3) / 2

So Cos b would equal -1 / 2?