Cosθ<0 and tanθ > 0 Determine the quadrant in which the terminal side of θ lies?

1 Answer
Carl S.
Apr 17, 2018

Quadrant 3

Explanation:

if #cos(θ)# is negative the terminal side of #θ# is in either quadrant 2 or 3.

if #tan(θ)# is positive the terminal side of #θ# is in either quadrant 1 or 3. (sin and cos are both positive or sin and cos are both negative)

The only quadrant for which both these conditions are true is quadrant 3.

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