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

Back

Sine = Opposite/Hypotenuse = 5/13.

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 find the length of a side in a right triangle if you know one angle and one side?

Back

You can use the sine, cosine, or tangent functions depending on which sides you know.

Front

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

Back

The angles in a right triangle are related to the ratios of the lengths of the sides, which can be expressed using sine, cosine, and tangent.

Front

How do you solve for a missing side using the cosine function?

Back

To solve for a missing side using cosine, use the formula: Adjacent = Hypotenuse * cos(angle).

Front

What is the Pythagorean theorem and how does it relate to SOHCAHTOA?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse. It provides a way to find the lengths of sides, which can then be used with SOHCAHTOA.