Basic Trig Jeopardy!

Sin

100

The acronym for SOH is? 

sin= opposite/ hypotenuse 

200

The hypotenuse of a triangle is 12 the side oppsite to the angle 40 is 5 what is the cos of that angle.

sin= 5/12

300

The hypotenuse of a triangle is 15 the side oppsite to the angle 70 is 5 what is the cos of that angle.

sin= 1/3

400

What is the reciprocal of the ratio sin?

Cosecant (csc)

csc= hypotenuse/opposite

500

The opposite side has length 6, the side adjacent has length of 12, and the hypotenuse has length 18. What is the cosecant?

csc = 18/6 = 3

Cos

100

The acronym for CAH is?

cos= adjacent/hypotenuse 

200

The hypotenuse of a triangle is 10 the side adjacent to the angle 30 is 2 what is the cos of that angle.

cos= 2/10

300

The hypotenuse of a triangle is 18 the side adjacent to the angle 40 is 3 what is the cos of that angle?

cos= 1/6

400

What is the reciprocal of the ratio cos?

 secant (sec)

sec= hypotenuse/adjacent 

500

The opposite side has length 5, the adjacent side has length of 15, and the hypotenuse has length of 25. What is the secant?

sec = 25/15 = 5/3

Tan

100

The acronym for TOA is? 

tan= opposite/adjacent

200

The adjacent side of a triangle with the angle 20 is 7 the side opposite to 20 is 3 what is the tan of that angle?

tan= 3/7

300

The adjacent side of a triangle with the angle 40 is 28 the side opposite of 40 is 4 what is the tan of that angle?

tan= 1/7

400

What is the reciprocal of the ratio tan?

Cotangent (cot)

cot= adjacent/opposite

500

The opposite has side length 4, the adjacent side has length 8, and the hypotenuse has length 20. What is the cotangent? 

cot = 8/4 = 2

Special Right Triangles

100

What is the hypothenuse of a 45 45 degree triangle if on side is 9

9 square root 2

200

What is one side of a 45 45 degrees triangle, if one side is is 3

3

300

What is the length of the hypotenuse if the shorter leg of a 30-60-90 triangle, if the 2

2 x 2= 4

400

What is the length of the longer leg if the shorter leg of a 30-60-90 triangle, if the 7

7 square root 3

500

What is the length of the shorter leg if the longer leg of a 30-60-90 triangle, if the 9

9/square root 3 = 3 square root 3 

Degrees and Radians

100

To convert radians to degrees, multiply by what?

180/pi

200

To convert degrees to radians, multiply by what?

pi/180

300

Convert the radian degree pi/6 to degrees

30 

pi/6 x 180/pi = 30

400

Convert the degree 80^o to radians

80^o x pi/180 = 4pi/9

500

Using the Unit Circle, what quadrant is 120^o located in?

Quadrant 2