if sin and sec of theta are less than zero what quadrant is it in
sin < 0 in QIII,QIV
sec < 0 in QII,QIII
so, what do you think?
use the information given about the angle theta,
To determine in which quadrant theta lies when both sin(theta) and sec(theta) are negative, we need to consider the signs of sine and secant in each quadrant.
In the unit circle, the sine function (sin) is negative in the third and fourth quadrants, while the secant function (sec) is negative in the second and third quadrants.
Since we know that both sin(theta) and sec(theta) are negative, it means that theta is in the third quadrant (where sin is negative) or in the second or third quadrant (where sec is negative).
To determine the specific quadrant in this situation, we need more information or the actual value of theta. The given condition of sin(theta) and sec(theta) being less than zero only tells us that it is not in the first or fourth quadrant where both functions are positive.
Keep in mind that sin and sec values alone cannot uniquely determine the quadrant; we need additional information or the specific value of theta to pinpoint its exact location.