Trigonometry

Pythagorean Theorem

100

What is the equation for the pythagorean theorem?

a² + b² = c²

200

Are the following numbers a pythagorean triple?

3, 4, 5

Yes, they satisfy a² + b² = c²

300

You have a triangle with the legs measuring 16 and 30. What is the length of the hypotenuse?

34

400

You have a triangle with a hypotenuse of 7 and a leg of 4. What is the length of the missing leg?

square root of 33

500

The lengths of the sides of a triangle are 11, 12, 15. Is it a right, obtuse or acute triangle?

acute

Trigonometry

100

What is the sine of the following triangle?

Problem 11 Pg. 510

7/25

200

What is the tangent of the following triangle?

Problem 11 Pg. 510

7/24

300

Find the value of x in the following triangle. (Rounded to the nearest tenth)

Problem 14 Pg 510

11.5

400

Find the value for x in the following triangle. (round to the nearest tenth)

Problem 15 Pg. 510

8.3

500

Find the value of x. Round to the nearest degree.

Problem 23 Pg. 511

58

Definitions

100

A ______ is a set of nonzero whole numbers that satisfy a² + b² = c².

Pythagorean Triple

200

If a bird is looking down to an airplane this is said to be an _______________.

Angle of Depression

300

If you were to look up at a bird this would be called an ___________.

Angle of elevation

400

We call an Isosceles Right Triangle a __________.

45 - 45 - 90 Triangle

Theorems

100

a² + b² = c² is called what?

Pythagorean Teorem

200

If c² > a² + b², then we say the triangle is _______.

Obtuse

300

If c² < a² + b², the we say the triangle is _______.

Accute

400

What are the ratios for sin, cos, and tan?

sin = opp/hyp

cos = adj/hyp

tan = opp/adj