Question

Find the value of sec (θ) for an angle θ in standard position with a terminal ray that passes through the point (4, -3)

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Answer 1

d. 5/4

Explanation:

(4,-3) is in quadrant 4

cos/sec is positive in this quadrant

Hypotenuse = sqrt(3² + 4²)

sqrt(25)

5

cos(theta) = 4/5

sec(theta) = 5/4

Answer 2

d. 5/4

Explanation:

The secant of an angle with a terminal ray through the point (4, -3) is the distance to the origin divided by the x-coordinate, or

`\sqrt{4^(2)+(-3)^2}` / 4 = 5/4