Right Triangle Trigonometry Fun!

Trig Functions

100

What is the ratio for sin?

Opposite over Hypotenuse

200

What is the ratio for cosine?

Adjacent over Hypotenuse

300

What is the ratio of tangent?

opposite over adjacent

400

What do you use to solve for missing angles in right triangles?

inverse trigonometric ratios

500

What helps helps us remember the three trigonometric ratios?

SohCahToa

Find the missing Angle

100

Find theta with the given information: Adjacent = 12 Hypotenuse = 13 

(round to the nearest tenth)

22.6 degrees

200

Find theta: Adjacent =13 Opposite = 4

(round to the nearest tenth)

17.1 degrees

300

Find Theta: Opposite = 11.9 Adjacent = 10

(round to the nearest tenth)

50 degrees

400

Find Theta: Hypotenuse = 9 Adjacent = 6

(round to the nearest tenth)

48.2 degrees

500

Find Theta: Opposite = 3 Adjacent = 3

45 degrees

Find the Missing Side

100

Find the missing Side: Theta = 37, Adjacent = 11,  Hypotenuse = x

(round to the nearest tenth)

 13.8 units

200

Find the missing side:

Theta = 32 , Adjacent = 13,  Opposite = x

(round to the nearest tenth)

 8.1 units

300

Find the missing side: Adjacent =x, Theta = 60, Hypotenuse = 11

(round to the nearest tenth)

5.5 units

400

Find the missing side: Theta = 50, Adjacent = 5, Opposite = x

(round to the nearest tenth)

6 units

500

Find the missing side: Opposite = 4 ,Adjacent = x,  Theta = 41

(round to the nearest tenth)

4.6 units

Bonus Qs

100

In triangle ABC, angle A is a right triangle. If tan of B = 8/9. Find cos B.

(round to the nearest tenth)

cos b = 9/12

200

In triangle ABC, angle A is a right angle. If Cos b = 12/20, find sin b.

Simplify your fraction.

sin b = 4/5.