Question

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (40, 9) lies on its terminal side.

Answer 1

See below.

Explanation:

40 is the adjacent side and 9 is the opposite side of the right angled triangle formed by joining the point to the origin and the x axis.

The hypotenuse = sqrt (40^2 + 9^2) = 41.

So the sine = 9/41 = 0.2195.

cosec = 1/ sin = 4.5556.

cosine = 40 / 41 = 0.9756.

secant = 1 / cos = 1.025.

tan = 9/40 = 0.225

cot = 1/tan = 4.444.