Question

Suppose that Theta is an angle in standard position whose terminal side intersects with the unit circle at (21/29,20/29). Fine the exact values of cscTheta, cosTheta, and cotTheta

Answer 1

The coordinates of the vertex is:

• x = 21/29, y = 20/29

Horizontal leg = x, vertical leg = 20/29, hypotenuse = 1 (radius of unit circle)

• csc θ = hypotenuse / opposite = 1 / (20/29) = 29/20
• cos θ = adjacent / hypotenuse = (21/29) / 1 = 21/29
• cot θ = adjacent / opposite = (21/29) / (20/29) = 21/20