Which quadrant is θ located in?

Question

Which quadrant is θ located in?

cos(θ)< 0 and tan>0

Answer 1

As per Trig angles rule , It is the All Sine Tan Cos

that means ..All angles will be positive in first Quadrant

Sin will be positive in second quadrant

Cosine will be positive in fourth Quadrant

Tangent will be positive in 3rd Quadrant .

so here in the problem,

cosθ < 0 and tan θ > 0 , where θ is located..

from above 4 conditions , Cosine is negative and tangent will be positive in 3rd Quadrant

so Answer is θ is located in Third Quadrant

Answer 2

And sugar to Coffee or All Students take Calculus

A: All trig functions positive in quadrant 1

S: sine function positive in quadrant 2

T: tangent function positive in quadrant 3

C cosine function positive in quadrant 4

cos<0 tan>0 , so quadrant 3