4.0 Triangle Trigonometry Basics

Front

What is the sine function in relation to a right triangle?

Back

In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How do you find the length of a side using the sine function?

Back

To find the length of a side using the sine function, use the formula: length = hypotenuse * sin(angle).

Front

What is the cosine function in relation to a right triangle?

Back

In a right triangle, 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 missing angle using the cosine function?

Back

To find the missing angle, use the formula: angle = cos^{-1}(adjacent/hypotenuse).

Front

What is the tangent function in relation to a right triangle?

Back

In a right triangle, 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 length of a side using the tangent function?

Back

To find the length of a side using the tangent function, use the formula: length = adjacent * tan(angle).

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 lengths of the sides through trigonometric ratios: sine, cosine, and tangent.

Front

What is the inverse sine function and when is it used?

Back

The inverse sine function, sin^{-1}, is used to find an angle when the ratio of the opposite side to the hypotenuse is known.

Front

What is the inverse cosine function and when is it used?

Back

The inverse cosine function, cos^{-1}, is used to find an angle when the ratio of the adjacent side to the hypotenuse is known.

Front

What is the inverse tangent function and when is it used?

Back

The inverse tangent function, tan^{-1}, is used to find an angle when the ratio of the opposite side to the adjacent side is known.