Right Triangle Trig

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What does SOH-CAH-TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

What is the sine function in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

How do you find the tangent of 42°?

Back

Use a calculator to find tan(42°) which is approximately 0.9004.

Front

Which trigonometric ratio is used for finding the length of the opposite side?

Back

Sine is used to find the length of the opposite side when the hypotenuse and the angle are known.

Front

Which trigonometric ratio is used for finding the length of the adjacent side?

Back

Cosine is used to find the length of the adjacent side when the hypotenuse and the angle are known.

Front

What is the relationship between the sides in a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (Pythagorean theorem).

Front

What is the formula for the tangent function?

Back

Tangent (tan) = Opposite side / Adjacent side.

Front

When can you use SOH-CAH-TOA?

Back

You can use SOH-CAH-TOA only for right triangles.