Question

1. How are sine functions connected to the unit circle?

2. How are cosine functions connected to the unit circle?

Answer 1

1) The sine function relates a real number t to the y-coordinate of the point where the corresponding angle intercepts the unit circle.

2) The secant function is the reciprocal of the cosine function (secx=1cosx) ⁡ x = 1 cos ⁡.The co-secant function is the reciprocal of the sine function (cscx=1sinx) ⁡ x = 1 sin ⁡ . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y ⁡ t = 1 y .

Explanation: