Question

Is the function sec t positive or negative in Quadrant II?

Answer 1

Answer: Negative

Explanation:

sec t = 1 / (cos t) = 1 / x

Cos is x and sin is y. In this case, we only have cos. In the ii quadrant, the x is negative. ( - , + )

Answer 2

The trigonometric function secant is the reciprocal of the trigonometric cosine. In Quadrant II, cosines are negative as it is only the sines and cosecant that are positive. From these, it is conclusive that the function sec is also negative.