SOH CAH TOA

Front

What does SOH CAH TOA stand for?

Back

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

Front

What is the sine function?

Back

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

Front

What is the cosine function?

Back

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

Front

What is the tangent function?

Back

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

Front

If you know the hypotenuse and the adjacent side, which trigonometric function do you use?

Back

Cosine.

Front

How do you find the angle using the tangent function?

Back

To find the angle, use the formula: angle = arctan(opposite/adjacent).

Front

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

Back

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

Front

How do you calculate the height of an object using trigonometry?

Back

Use the formula: height = distance * tan(angle).

Front

What is the angle of depression?

Back

The angle of depression is the angle formed by a horizontal line and the line of sight down to an object.

Front

How do you solve for a missing side in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.