Question

Find the exact trigonometric ratios for the angle x whose radian measure is given by 13π/2.

a) sin(x) = -1, cos(x) = 0, tan(x) = Undefined
b) sin(x) = 0, cos(x) = -1, tan(x) = 0
c) sin(x) = 1, cos(x) = 0, tan(x) = Undefined
d) sin(x) = 0, cos(x) = 1, tan(x) = 0

Answer 1

For the angle x with a radian measure of 13π/2, sin(x) = 1, cos(x) = 0, and tan(x) is undefined.

Step-by-step explanation:

The radian measure of 13π/2 is equivalent to 13π/2 = 6π + π/2. Since 6π equals 12 half-rotations or 360 degrees, the angle x can be represented as π/2, or 90 degrees.

For this angle, the trigonometric ratios are:
sin(x) = 1
cos(x) = 0
tan(x) = Undefined

The correct answer is c) sin(x) = 1, cos(x) = 0, tan(x) = Undefined.