Question

In what quadrant will θ terminate, if sin θ is positive and sec θ is negative?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answer 1

sec = 1/cos for both sin and cos to be positive you are in the 1st quadrant

Answer 2

2nd.

Answer 3

what? 1st or 2nd?

Answer 4

\(\sin \theta\) is positive in two quadrants
I and II
In I= \(\cos\theta \) is positive
In II= \(\cos\theta \) is negative
so it's second quadrant

Answer 5

2nd. You wnt cos negative sin positive.
Thats the scond.

Answer 6

the picture shows which trig ratios are positive in which quadrants