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 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

If sin(θ) = 0.5, what is θ?

Back

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

Front

If cos(θ) = 0.6, what is the adjacent side if the hypotenuse is 10?

Back

Adjacent = cos(θ) * Hypotenuse = 0.6 * 10 = 6.

Front

If tan(θ) = 1, what is θ?

Back

θ = 45° (in the range of 0° to 360°).

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are related through the Pythagorean identity: sin²(θ) + cos²(θ) = 1.

Front

How do you find the opposite side using sine?

Back

Opposite = Hypotenuse * sin(θ).

Front

How do you find the adjacent side using cosine?

Back

Adjacent = Hypotenuse * cos(θ).