Basic Trig Jeopardy! (Spring 25)

Sin

100

The acronym SOH stands for ____.

sin= opposite/ hypotenuse 

200

The hypotenuse of a triangle is 12 the side opposite to the angle is 5. What is the sine of that angle?

sin = 5/12

300

The hypotenuse of a triangle is 15 the side opposite to the angle is 5. What is the sine of that angle?

sin= 1/3

400

What is the reciprocal of the trig function sine?

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 CAH stands for____?

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 = 1/5

300

The hypotenuse of a triangle is 18 the side adjacent to the angle 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  TOA stands for ____? 

tan= opposite/adjacent

200

The adjacent side of a triangle with the angle 20^o is 7 and the side opposite is 3. What is the tan of that angle?

tan= 3/7

300

The adjacent side of a triangle with the angle 40^o is 28 and the opposite side 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 45-45-90 triangle if one side is 9?

9sqrt2

200

What is the length of each side of a 45-45-90 triangle if the hypotenuse is 

3sqrt2 

3

300

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

2 x 2= 4 units

400

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

7sqrt3

500

What is the hypotenuse of a 30-60-90 triangle if the two legs are 2 units and 7 units?

sqrt53

Degrees and Radians

100

To convert radians to degrees, multiply the radians by what?

180/pi

200

To convert degrees to radians, multiply degrees by what?

pi/180

300

Convert to degrees: pi/6 

30^o

pi/6 x 180/pi = 30

400

Convert to radians: 80^o 

80^o x pi/180 = 4pi/9

500

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

Quadrant 2