Right Triangle Trig

Front

What type of numbers are \(\cos57\degree\), \(\sin27\degree\), and \(\tan82\degree\)?

Back

Real numbers.

Front

What does SOH-CAH-TOA apply to?

Back

Right Triangles only.

Front

Which trigonometric function is used to find the ratio of the opposite side to the hypotenuse?

Back

Sine.

Front

When do you use an inverse trigonometric function?

Back

When you are given the sides and need to find the angle.

Front

What is the Pythagorean Theorem?

Back

The equation \(a^2 + b^2 = c^2\) relates the lengths of the sides of a right triangle.

Front

What is the definition of sine in a right triangle?

Back

Sine is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine in a right triangle?

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the relationship between sine and cosine?

Back

\(\sin\theta = \cos(90\degree - \theta)\) for any angle \(\theta\).

Front

What is the formula for finding the hypotenuse using the Pythagorean Theorem?

Back

\(c = \sqrt{a^2 + b^2}\) where \(c\) is the hypotenuse.