SOHCAHTOA

Front

What does SOHCAHTOA stand for?

Back

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

Front

What is the sine function?

Back

The sine function (sin) is defined as the ratio of the length of the side opposite the angle 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

How do you find the hypotenuse in a right triangle?

Back

The hypotenuse can be found using the Pythagorean theorem: a² + b² = c², where c is the hypotenuse and a and b are the other two 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 sine, cosine, and tangent functions.

Front

What is the formula for sine in terms of a right triangle?

Back

sin(θ) = opposite side / hypotenuse.

Front

What is the formula for cosine in terms of a right triangle?

Back

cos(θ) = adjacent side / hypotenuse.

Front

What is the formula for tangent in terms of a right triangle?

Back

tan(θ) = opposite side / adjacent side.

Front

If sin(θ) = 0.5, what is the angle θ?

Back

θ = 30 degrees or θ = 150 degrees (in the range of 0 to 360 degrees).