Trigonometry Fun!

Wildcard

100

What is a Right Triangle?

It is what a triangle with a right angle (90 degrees) is called.

200

What does the "TOA" mean in SOHCAHTOA?

Tangent = Opposite/Adjacent

300

Give one real-life example of how we could use trignometry ratios to solve a real world problem

Measuring the height of a tree, measuring the distance across a river, the height of a building, the depth of a hole, etc..

400

When using the Pythagorean theorem, the hypotenuse is labeled with what letter?

C

500

What is the Pythagorean theorem?

a^2+b^2=c^2

Find the Missing Angle

100

Find theta with the given information:

Adjacent=12

Hypotenuse=13

22.6 degrees

200

Find Theta:

Adjacent = 13

Opposite=4

17.1 degrees

300

Find Theta:

Opposite= 11

Adjacent=10

47.7 degrees

400

Find Theta:

Hypotenuse=9

Opposite =6

41.8 degrees

500

Find Theta:

Opposite=3

Adjacent=3

45 degrees

Right Angle Triangles

100

One of the angles in a right triangle is 35 degrees. What is the measures of the other two angles?

90 and 55 degrees

200

When using Trigonometry, the side length directly across the angle is called?

Opposite

300

What is the longest side of a right triangle called?

Hypotenuse

400

The Trigonometry Acronym that helps us solve triangle questions.

SOH CAH TOA

500

Using Trigonometry, calculate the Hypotenuse side when the Opposite = 8 and the angle = 56?

9.6

Find the Missing Side

100

Find the missing side: Theta=37

Adjacent=11

Hypotenuse=?

13.8

200

Find the missing side: Theta=32

Adjacent=13

Opposite=X

8.1

300

Find the missing side: Adjacent=x

Theta=60

Hypotenuse=11

5.5

400

Find the missing side: Theta=50.1

Adjacent=5

Opposite=X

5.9

500

Find the missing side: Opposite=4

Adjacent=X

Theta=41

4.6

Trig Ratios

100

What is the ratio of sine?

Opposite/Hypotenuse

200

What is the ratio for cosine?

Adjacent/Hypotenuse

300

What is the ratio for Tangent?

Opposite/Adjacent

400

Adjacent=6; Opposite=4; Hypotenuse=square root of 52. What is the Tangent Ratio?

4/6 

500

Adjacent=3; Opposite=4; Hypotenuse=5. What is the Sine Ratio?

4/5

Final Jeopardy

100

What is the ratio of cosecant?

Hypotenuse/Opposite

200

What is the ratio of cotangent? 

Adjacent/Opposite

300

What is the abbreviation used to remember which quadrants the trig functions are positive in?

"All Students Take Calculus"

400

Which trig functions are positive in the 4th quadrant?

Cosine and Secant.

500

Which trig function is a ratio of sine and cosine?

Tangent