Unit Circle Jeopardy

Trig Identities

100

The reciprocal of cotx is ....

what is 1/tanx?

200

sin = 25/30 is the reciprocal. simplify.

What is 6/5?

300

1/csc²x +cos²x

What is sin²x + cos²x?

or 

what is 1?

400

cot²x=csc²x ....

what is -1?

500

Your Opp. angle is 12, your Adj. angle is 9. Find the hypotenuse and all 3 trig functions reciprocals. 

what is 

Csc x= 5/4

Sec x= 5/3

Cot x= 3/4

Simplifying Trig Expressions

100

Find Trig Identity and solve:

6+6cot²x=csc²x-1

what is 6csc²x?

or

cot²x=csc²x-1

200

Find Trig Identity and solve:

4sin²x+4cos²x?

what is 4?

or

sin²x+cos²x=1

300

Find necessary Trig Identity and Solve:

csc²x/sec²x-tan²x

what is csc²x?

or

tan²x+1=sec²x?

400

Trig Identity for 1-sin²x

what is cos²x?

500

Find the necessary Trig Identity for :

sin²x/sin²x-1

solve.

what is sin²x+cos²x=1?

or

-tan²x?

Find the Radians

100

135^o

What is 3pie/4?

200

330^o 

what is 11pie/6?

300

(square root 3/2, 1/2)

what is pie/6?

400

(-square root 2/2,-2/2)

what is 5pie/4?

500

 (0,-1) is the ordered pair, find the Radian

What is 3pie/2?

Finding Degrees

100

cos x =

what is "x value"?

200

cos square root 3/2

what is 150^o?

300

sin x =

what is " y-value"?

400

sin -1/2

what is 330^o?

500

cos 1/2 

what is 60^o?

Pythagorean Therom

100

x²+8²=10²

what is 

sin = 4/5

cos = 3/5

tan = 4/3?

200

Sin , Cos , Tan for :

csc x = 13/5

Sec = 13/12

cot = 12/5

what is 

sin = 5/13

cos = 12/13

tan = 5/12

300

a²+12²=20² . Find value . Cot x? Sin x? Sec x?

What is 

Sin x= 4/5

Cot x= 3/4

Sec x= 5/3

400

The hyp. is 13. The angle Opp of x is 5.  Find missing value and functions of cos x and cot x.  

what is Cos x = 12/13 or Cot x= 12/5?

500

Find Reciprocals for equation:

3²+x²=5²

What is 

csc = 5/3

Sec = 5/4 

cot = 4/3