Trig Missing Sides and Angles

Front

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

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Front

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

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you set up a proportion to solve for a missing side in a right triangle using sine?

Back

Set up the proportion as sin(angle) = opposite/hypotenuse.

Front

How do you set up a proportion to solve for a missing side in a right triangle using cosine?

Back

Set up the proportion as cos(angle) = adjacent/hypotenuse.

Front

How do you set up a proportion to solve for a missing side in a right triangle using tangent?

Back

Set up the proportion as tan(angle) = opposite/adjacent.

Front

What is the formula to find the missing angle using the sine function?

Back

To find the angle, use the inverse sine function: angle = sin^(-1)(opposite/hypotenuse).

Front

What is the formula to find the missing angle using the cosine function?

Back

To find the angle, use the inverse cosine function: angle = cos^(-1)(adjacent/hypotenuse).

Front

What is the formula to find the missing angle using the tangent function?

Back

To find the angle, use the inverse tangent function: angle = tan^(-1)(opposite/adjacent).

Front

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

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.