Unit Circle Jeopardy

Conversions

100

Convert to degrees: 

3pi

540 degrees

200

Convert to radians (write your answer in simplest form): 

140 degrees

(7pi)/9

300

Convert to radians (write your answer in simplest form):

-315 degrees

-(7pi)/4

400

Convert to degree: 

(11pi)/12

165 degrees

500

Convert to degrees(round to the nearest whole number): 

8 radians 

458 degrees

Radian angles

100

Which angle from the original 0 to 2pi angles of the unit circle does the following angle land on?

(7pi)/3

pi/3

200

Which angle from the original 0 to 2pi angles of the unit circle does the following angle land on?

(17pi)/6

(5pi)/6

300

Which angle from the original 0 to 2pi angles of the unit circle does the following angle land on?

-(19pi)/4

(5pi)/4

400

Which angle from the original 0 to 2pi angles of the unit circle does the following angle land on?

-(19pi)/3

(5pi)/3

500

Which angle from the original 0 to 2pi angles of the unit circle does the following angle land on?

(27pi)/6

(pi)/2

Trig ratios

100

Find the exact value of 

sin ((7pi)/4)

-sqrt2/2

200

Find the exact value of 

cos((13pi)/6)

sqrt3/2

300

Find the exact value of 

tan(-(3pi)/4)

1

400

Find the exact value of 

csc((16pi)/3)

-(2sqrt3)/3

500

Find the exact value of 

cot5pi

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Trig Equations

100

Solve for A between 0 and 2pi:

cosA=-sqrt3/2

{(5pi)/6,(7pi)/6}

200

Solve for A between 0 and 2pi:

4cosA+3=1

{(2pi)/3,(4pi)/3}

300

Solve for A between 0 and 2pi:

4sin^2(A)+4=7

{pi/3,(2pi)/3,(4pi)/3,(5pi)/3}

400

Solve for A between 0 and 2pi:

2cos^2(A)+4=5

{pi/4,(3pi)/4,(5pi)/4,(7pi)/4}

500

Solve for A between 0 and 2pi:

-3tanA+sqrt3=0

{pi/6,(7pi)/6}