Question

Let (-3,8) be a point on the terminal side of 0. find the exact values of sin0, scs0, and cot0.

Answer 1

To find the exact values of sin0, csc0, and cot0, we can use the coordinates of the point (-3,8) on the terminal side of 0.

Step-by-step explanation:

To find the exact values of sin0, csc0, and cot0, we need to use the coordinates of the point (-3,8).

First, we can use the coordinates to determine the hypotenuse of a right triangle formed by the point and the x-axis. The hypotenuse is given by the distance formula:

• d = sqrt((-3)^2 + 8^2) = sqrt(9 + 64) = sqrt(73)

Now, we can use this information to find the values:

• sin0 = y-coordinate / hypotenuse = 8 / sqrt(73)
• csc0 = 1 / sin0 = sqrt(73) / 8
• cot0 = x-coordinate / y-coordinate = -3 / 8.