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 ratios in a right triangle: Sine = Opposite/Hypotenuse (Soh), Cosine = Adjacent/Hypotenuse (Cah), Tangent = Opposite/Adjacent (Toa).

Front

What is the sine ratio?

Back

The sine ratio is defined as the length of the opposite side divided by the length of the hypotenuse in a right triangle.

Front

What is the cosine ratio?

Back

The cosine ratio is defined as the length of the adjacent side divided by the length of the hypotenuse in a right triangle.

Front

What is the tangent ratio?

Back

The tangent ratio is defined as the length of the opposite side divided by the length of the adjacent side in a right triangle.

Front

Calculate tan(19˚).

Back

0.344

Front

If the hypotenuse is 10 and the opposite side is 3, what is the sine of the angle?

Back

0.3 (Sine = Opposite/Hypotenuse = 3/10).

Front

If the adjacent side is 4 and the hypotenuse is 5, what is the cosine of the angle?

Back

0.8 (Cosine = Adjacent/Hypotenuse = 4/5).

Front

If the opposite side is 6 and the adjacent side is 8, what is the tangent of the angle?

Back

0.75 (Tangent = Opposite/Adjacent = 6/8).

Front

What is the relationship between sine, cosine, and tangent?

Back

Tangent can be expressed as the ratio of sine to cosine: Tan(θ) = Sin(θ)/Cos(θ).

Front

In a right triangle, if one angle is 30˚, what is the sine of that angle?

Back

0.5 (Sine of 30˚ is 1/2).