Trigonometry

Unit Circle application

100

What quadrant is 180 degrees in?

Quadrants 2 and 3

300

What quadrant is 5pi/6?

Quadrant 2

500

What are the values of x/6

pi/6, 5pi/6, 7pi/6, and 11pi/6

Trig Identities

100

(cos x) (tan x)

sin(x)

300

(csc x)/(sin x)

csc²(x)

500

cot(-x)

-cot(x)

Linear Trig Equations

100

cos(x)-1=0

2pi

300

Complex solutions of sec x + csc(2) = 0

{92,268}

500

Complex solutions of sin x + tan(2) = 0

{182,358}

Quadratic Trig Factoring

100

sin(x) + 2 =3

90 degrees

300

cos²(θ)=3  

No soluton

500

tan²(θ)+tan(θ)=0

{0,180,135,315}

Trig Models

100

(cos²θ) (sec²θ) simplified

1

300

sinθ - sinθ/cscθ simplified

sin(θ)-sin²(θ)

500

(1+sinθ)(secθ-cotθ) simplified

sec(θ)-cot(θ)+tan(θ)-cos(θ)