Jeopardy: Unit Circle Review

Ordered Pairs

100

60^o

(1/2, sqrt(3)/2)

200

pi/4

(sqrt(2)/2, sqrt(2)/2)

300

150^o

(-sqrt(3)/2, 1/2)

400

5pi/3

(1/2, -sqrt(3)/2)

500

7pi/6

(-sqrt(3)/2, -1/2)

Trig Values

100

sin 60^o

sqrt(3)/2

200

cos 3pi/4

- sqrt(2)/2

300

tan 7pi/6

sqrt(3)/3

400

tan 300^o

-sqrt(3)

500

sin 540⁰

0

Compositions of Inverses

100

sin (sin^-1 3/4)

3/4

200

cos (sin^-1 (-1/2))

sqrt(3)/2

300

cos (tan^-1 5/12)

12/13

400

sin (arctan 2/3)

2sqrt(13)/13

500

tan(arccos x/5)

sqrt(25 - x²) / x

Inverses

100

sin^-1 (1)

90^o

pi/2

200

cos^-1 (-1/2) =

150^o

2pi/3

300

tan^-1(sqrt(3))

60^o

pi/3

400

arctan is undefined

90^o, -90^o​

pi/2, -pi/2

​​​

500

arcsin is undefined

never!

Non-Unit Circle

100

sin through (3, 4)

4/5

200

cos through (-2, 5)

-2sqrt(29)/29

300

tan through (-5, -7)

7/5

400

csc through (4, -7)

-sqrt(65)/7

500

cot through (8, 0)

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