Trig Review Skills

Rationalize Denominator

100

Simplify Rad2/2Rad3

Rad6/6

200

Simplify Rad3/(-1-Rad5)

(Rad3-Rad15)/4

300

Simplify Rad5/(5+Rad2)

(5Rad5-Rad10)/23

400

Simplify (2-Rad3)/(-2-Rad5)

4-2Rad5-2Rad3+Rad15

500

Simplify (-4+Rad3)/(-1-2Rad5)

(-4+8Rad5+Rad3-2Rad15)/19

Reference Angles

100

What's the reference angle of 355 degrees?

5 degrees

200

What's the reference angle of 408 degrees?

48 degrees

300

Find the reference angle of -150 degrees

30 degrees

400

Determine the reference angle of 15Pi/8

Pi/8

500

Find the reference angle of -16Pi/13

3Pi/13

Exact Values of Special Right Triangles

100

Find the exact value of cos120degrees

-1/2

200

Find the exact value of sin225degrees

-rad2/2

300

Find the exact value of tan2Pi/3

-rad3

400

Find the exact value of cot7Pi/4

-1

500

Find the exact value of sec5Pi/6

-2rad3/3

Finding trig ratios, given one

100

If x is a fourth-quadrant angle and sinx=-5/13, find cosx. 

12/13

200

Given x is in the first quadrant, and sinx=3/5, find the other trig ratios. 

cscx=5/3, cosx=4/5, secx=5/4, tanx=3/4, cotx=4/3

300

Given cosx=-24/25, and Pi<x<3Pi/2, determine the other trig functions. 

secx=-25/24, sinx=-7/25, cscx=-25/7, tanx=7/24, and cotx=24/7

400

If cscx=-17/15 and -90degrees<x<90degrees, find the other five trig functions.

sinx=-15/17, cosx=8/17, secx=17/8, tanx=-15/8, cotx=-8/15.

500

If secx=-3, 0<x<pi, find the other five trig functions.

sinx=2rad2/3, cosx=-1/3, tanx=-2rad2, cscx=3rad2/4, cotx=-rad2/4