Trig Functions
Find the missing Angle
Find the Missing Side
Trig functions again...
The Big Picture
100

What is the ratio for sin?

What is Opposite over Hypotenuse?

100

Find the angle x with the given information. 

Adjacent = 12 Hypotenuse = 13

What is 22.6 degrees?

100

Find the missing Side: 

Angle= 37 degrees, Adjacent = 11 Hypotenuse = ?

What is 13.8?

100

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

cos b = 9/12

100

This geometric principle is the reason each acute angle has a unique sin, cos, and tan ratio.

What is Similar Triangles?

200

What is the ratio for cosine?

What is Adjacent over Hypotenuse?

200

Find the angle: Adjacent =13 Opposite = 4

What is 17.1 degrees?

200

Find the missing side: 

Angle= 32 degrees Adjacent = 13 Opposite = x

What is 8.1?

200

In triangle ABC, angle A is a right angle. If Cos C = 12/17, find sin B.

sin B = 12/17.

200

Interpret the meaning of  sin(30)=0.5  is...

What is...The side opposite the 30 degree angle is half the length of the hypotenuse.

300

What is the ratio of tangent?

What is opposite over adjacent?

300

Find the angle: Opposite = 11.9 Adjacent = 10

What is 50 degrees?

300

Find the missing side:

Adjacent = x,  Angle = 60 degrees, Hypotenuse = 11

What is 5.5?

300

In triangle ABC, angle A is a right angle. If sin B is 11/7, find cos C.

cos C = 11/7.

300

If the tangent of an angle is .75, these are possible opposite and adjacent sides of the triangle.

What are opposite=3 and adjacent=4?

400

Which ratio is the reciprocal of the sine ratio?

What is cosecant?

400

Hannah, Jennifer, Vivi, Citlalli, Astrid, and Lindsey are all at an apple farm picking apples off of a tree. Hannah bets them all that she can climb to the top and get the highest apple, which is 52 ft off the ground. If Astrid, Jennifer, Vivi, Citlalli, and Lindsey are 9 feet from the tree, what is the angle of elevation from the girls to Hannah in the tree?

What is 80.2 degrees?

400

Find the missing side: Angle = 50.1 degrees Adjacent = 5 Opposite = x

What is 6?

400

In triangle ABC, angle A is a right angle. If cos C = 9/14, find csc B.

What is 14/9?

400

If the secant of an angle is 5/2, what is the cosine of the same angle?

What is 2/5?

500

What trig function of one acute angle is the sine of the other acute angle?

What is Cosine?

500

Chico is standing 42 feet away from the base of a building looking up.  The building is 45 feet tall.  At what angle of elevation is Chico looking?

What is 47 degrees?

500

Chris, Grant, Erick, and Tam decide to have a Pokémon battle. Erick Summons Charizard who stands at 18 feet high, and Erick is looking up at Charizard with an angle of elevation of 27 degrees, how far away is Erick from his Pokémon?

What is 35.3 feet away?

500

In triangle ABC, angle A is a right angle. If tan c = 12/15, find the tan B.

What is 15/12?

500

A trig function inputs an angle and outputs a ratio of sides. Name the inputs and outputs of inverse trig functions.

Inverse trig functions input side ratios and output angles.