M2 Trig Test Review

Front

What is the sine of an angle 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 of an angle 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

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

How do you find the measure of an angle using the sine function?

Back

You can find the measure of an angle by using the inverse sine function: angle = sin^(-1)(opposite/hypotenuse).

Front

How do you find the measure of an angle using the cosine function?

Back

You can find the measure of an angle by using the inverse cosine function: angle = cos^(-1)(adjacent/hypotenuse).

Front

How do you find the measure of an angle using the tangent function?

Back

You can find the measure of an angle by using the inverse tangent function: angle = tan^(-1)(opposite/adjacent).

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a^2 + b^2 = c^2.

Front

If a hawk swoops down at a 30-degree angle to catch a mouse 15 feet away from the tree, how do you find the distance from the tree branch to the mouse?

Back

Use the cosine function: cos(30) = adjacent/hypotenuse, where adjacent = 15 ft.

Front

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

Back

The angles in a right triangle are related to the ratios of the lengths of the sides, which can be expressed using sine, cosine, and tangent.

Front

What is the formula for finding the length of a side in a right triangle using sine?

Back

Length of opposite side = hypotenuse * sin(angle).