Question

Use the given point on the terminal side of the angle theta to find the value of the trigonometric function instead

Csc theta (6,4)

Answer 1

D) (√13)/2

Explanation:

You want to know the cosecant of the angle measured clockwise from the +x axis with point (6, 4) on its terminal side.

Cosecant

The cosecant of the angle is the ratio of the point's distance from the origin to the y-coordinate.

The distance from the origin is found using the Pythagorean theorem:

d = √(x²+y²) . . . . . . . distance from the origin to (x, y)

d = √(6² +4²) = √52 = 2√13

Then the desired ratio is ...

csc(θ) = d/y = (2√13)/4

csc(θ) = (√13)/2