Right Triangle Trigonometry

Front

What is the definition of sine (sin) in a right triangle?

Back

Sine (sin) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine (cos) in a right triangle?

Back

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If sin A = 4/5, what is the length of the opposite side if the hypotenuse is 20?

Back

The length of the opposite side is 16 (4/5 of 20).

Front

If cos(37°) = x/14, how do you solve for x?

Back

Multiply both sides by 14: x = 14 * cos(37°).

Front

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

Back

Use the formula: angle = sin^(-1)(opposite/hypotenuse).

Front

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

Back

The ratios of the lengths of the sides are constant for given angles, defining the trigonometric functions.

Front

If tan A = 4/3, what are the lengths of the opposite and adjacent sides if the opposite side is 12?

Back

The adjacent side is 9 (12/4 * 3).

Front

What is the formula to find the height of an object using the angle of elevation?

Back

Height = distance * tan(angle of elevation).

Front

In a right triangle, if one angle is 90°, what is the sum of the other two angles?

Back

The sum of the other two angles is always 90°.