Solving for Missing Angles Using Trig

Front

What is the definition of SOH CAH TOA?

Back

SOH CAH TOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent functions: Sine = Opposite/Hypotenuse (SOH), Cosine = Adjacent/Hypotenuse (CAH), Tangent = Opposite/Adjacent (TOA).

Front

How do you find the missing angle in a right triangle using trigonometry?

Back

To find the missing angle, use the inverse trigonometric functions (arcsin, arccos, arctan) based on the known sides of the triangle.

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

If the opposite side is 5 and the hypotenuse is 13, what is the sine of the angle?

Back

Sine = Opposite/Hypotenuse = 5/13.

Front

If the adjacent side is 12 and the hypotenuse is 13, what is the cosine of the angle?

Back

Cosine = Adjacent/Hypotenuse = 12/13.

Front

If the opposite side is 5 and the adjacent side is 12, what is the tangent of the angle?

Back

Tangent = Opposite/Adjacent = 5/12.

Front

What is the inverse sine function used for?

Back

The inverse sine function (arcsin) is used to find the angle when the sine value is known.

Front

What is the inverse cosine function used for?

Back

The inverse cosine function (arccos) is used to find the angle when the cosine value is known.