Find the exact trigonometric ratios for the angle x whose radian measure is given. (If an answer is undefined, enter UNDEFINED.)

Question

Find the exact trigonometric ratios for the angle x whose radian measure is given. (If an answer is undefined, enter UNDEFINED.)

3𝜋

4

 

sin(x) =			csc(x) =
cos(x) =			sec(x) =
tan(x) =			cot(x) =

Answer 1

If you not already done so, you need to memorize the unit circle. If you look at the unit circle, you will be able to read to answers right off of it for sin(x) and cos(x). Once you get those, tan(x) = sin(x)/cos(x), csc(x) = 1/sin(x), sec(x) = 1/cos(x), and cot(x) = cos(x)/sin(x)

Answer 2

It is II quarter

sin = +sqrt(2)/2

cos = - sqrt(2)/2

tan =-1

cot = -1

sec = 1/cos = -2/sqrt(2)

csc = 1/sin = 2/sqrt(2)