3.9k views
4 votes
Find sec Θ if the terminal side of Θ in standard position contains the point (4, -3)

-3/4

-5/3

5/4

4/5

2 Answers

2 votes
sec Θ = hyp/adj

If we draw a right triangle in quadrant 4, we learn that the hypotenuse is 5.

In quadrant 4, secant is positive.

sec Θ = 5/4 = answer

User GarryOne
by
8.2k points
2 votes
If we plot that point we find ourselves in QIV. The distance along the x axis is 4, and the distance down from that point is -3. If we create a right triangle with that segment, that segment serves as the hypotenuse of the triangle. We need its measure. Using Pythagorean's theorem,
4^2+-3^2=c^2 and
16+9=c^2. We see that c = 5. We need now to find the secant of that right triangle. Secant if the co-identity of cosine which is side adjacent over hypotenuse. That means that secant is the hypotenuse over the side adjacent. So our secant theta = 5/4
User Austin France
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories