Trig Ratios: SOHCAHTOA

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent ratios in a right triangle: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Front

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

Back

Sine = Opposite/Hypotenuse = 3/5 = 0.6.

Front

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

Back

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

Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

Tangent = Opposite/Adjacent = 3/4 = 0.75.

Front

How do you find the length of the opposite side using the sine ratio?

Back

To find the opposite side, use the formula: Opposite = Hypotenuse * Sine(angle).

Front

How do you find the length of the adjacent side using the cosine ratio?

Back

To find the adjacent side, use the formula: Adjacent = Hypotenuse * Cosine(angle).

Front

How do you find the length of the hypotenuse using the sine ratio?

Back

To find the hypotenuse, use the formula: Hypotenuse = Opposite/Sine(angle).