SOHCAHTOA

Front

What does SOHCAHTOA stand for in trigonometry?

Back

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

Front

How do you calculate the sine of an angle in a right triangle?

Back

The sine of an angle is calculated by dividing the length of the side opposite the angle by 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

Define tangent in the context of a right triangle.

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If the opposite side is 9 and the hypotenuse is 15, what is the sine of the angle?

Back

Sine = Opposite/Hypotenuse = 9/15 = 0.6.

Front

What is the formula to find the height of an object using trigonometry?

Back

Height = Distance * tan(angle) for a right triangle where the angle is measured from the horizontal.

Front

How can you use SOHCAHTOA to solve for a missing side in a right triangle?

Back

Identify which sides you know and which side you need to find, then use the appropriate trigonometric function (sine, cosine, or tangent) based on the angle and the sides.

Front

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

Back

In a right triangle, the angles determine the ratios of the lengths of the sides, which can be expressed using trigonometric functions.

Front

How do you estimate the height of an object using a diagram?

Back

Use the known distances and angles in the diagram to apply trigonometric ratios to calculate the height.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle and is opposite the right angle; it is used in calculating sine and cosine.