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

How do you find the length of a side using sine?

Back

To find the length of a side using sine, use the formula: sin(angle) = opposite/hypotenuse. Rearrange to find opposite = hypotenuse * sin(angle).

Front

How do you find the length of a side using cosine?

Back

To find the length of a side using cosine, use the formula: cos(angle) = adjacent/hypotenuse. Rearrange to find adjacent = hypotenuse * cos(angle).

Front

How do you find the length of a side using tangent?

Back

To find the length of a side using tangent, use the formula: tan(angle) = opposite/adjacent. Rearrange to find opposite = adjacent * tan(angle).

Front

If sin(30°) = 1/2, what is the opposite side if the hypotenuse is 10?

Back

The opposite side = hypotenuse * sin(30°) = 10 * 1/2 = 5.

Front

If cos(60°) = 1/2, what is the adjacent side if the hypotenuse is 8?

Back

The adjacent side = hypotenuse * cos(60°) = 8 * 1/2 = 4.

Front

If tan(45°) = 1, what is the opposite side if the adjacent side is 7?

Back

The opposite side = adjacent * tan(45°) = 7 * 1 = 7.