let theta be an angle in standard position. name the quadrant in which the angle theta lies given that sin theta

Question

let theta be an angle in standard position. name the quadrant in which the angle theta lies given that sin theta < 0 and sec theta < 0

Patrick B. · Accepted Answer

negative secant means negative cosine...

cosine and sine are both negative in quadrant 3

Remember "ADD SUGAR TO COFFEE"

A : all trig functions are positive in quadrant 1

S : sine is positive in quadrant 2

T : tangent is positive in quadrant 3

C : cosine is positive in quadrant 4

let theta be an angle in standard position. name the quadrant in which the angle theta lies given that sin theta < 0 and sec theta < 0