SOHCAHTOA Practice

Front

What does SOHCAHTOA stand for?

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

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

How do you find the angle using the sine function?

Back

To find the angle using the sine function, use the inverse sine function: angle = sin^(-1)(opposite/hypotenuse).

Front

How do you find the angle using the cosine function?

Back

To find the angle using the cosine function, use the inverse cosine function: angle = cos^(-1)(adjacent/hypotenuse).

Front

How do you find the angle using the tangent function?

Back

To find the angle using the tangent function, use the inverse tangent function: angle = tan^(-1)(opposite/adjacent).

Front

If the opposite side is 3 and the hypotenuse is 5, what is sin(θ)?

Back

sin(θ) = opposite/hypotenuse = 3/5 = 0.6.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is cos(θ)?

Back

cos(θ) = adjacent/hypotenuse = 4/5 = 0.8.

Front

If the opposite side is 3 and the adjacent side is 4, what is tan(θ)?

Back

tan(θ) = opposite/adjacent = 3/4 = 0.75.