Finding a Missing Side - Inverse Operations

Front

What is the definition of tangent in trigonometry?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is the definition of cosine in trigonometry?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the definition of sine in trigonometry?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the purpose of inverse trigonometric functions?

Back

Inverse trigonometric functions are used to find the angle when the values of the sides are known.

Front

What is the formula for finding the angle using tangent?

Back

The angle can be found using the formula: angle = tan^-1(opposite/adjacent).

Front

If the opposite side is 12 and the adjacent side is 29, what is the angle using tangent?

Back

angle = tan^-1(12/29) which is approximately 22.6°.

Front

If the hypotenuse is 20 and the opposite side is 9, which trigonometric function should be used to find the angle?

Back

Use sine: angle = sin^-1(9/20).

Front

What is the relationship between sine, cosine, and tangent?

Back

tan(x) = sin(x)/cos(x).

Front

How do you find the cosine of an angle if you know the adjacent side and hypotenuse?

Back

Use the formula: cos(angle) = adjacent/hypotenuse.

Front

What is the value of cos^-1(9/20)?

Back

The angle whose cosine is 9/20.