Math 2: CW 5.3-A SOHCAHTOA

Front

What does SOHCAHTOA stand for?

Back

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

Front

What is the formula for finding the sine of an angle in a right triangle?

Back

Sine (θ) = Opposite side / Hypotenuse.

Front

What is the formula for finding the cosine of an angle in a right triangle?

Back

Cosine (θ) = Adjacent side / Hypotenuse.

Front

What is the formula for finding the tangent of an angle in a right triangle?

Back

Tangent (θ) = Opposite side / Adjacent side.

Front

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

Back

Sine (θ) = 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 (θ) = 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 (θ) = 3/4 = 0.75.

Front

How do you find the length of the opposite side if you know the hypotenuse and the angle?

Back

Use the formula: Opposite = Hypotenuse * Sine(θ).

Front

How do you find the length of the adjacent side if you know the hypotenuse and the angle?

Back

Use the formula: Adjacent = Hypotenuse * Cosine(θ).

Front

How do you find the angle if you know the opposite and adjacent sides?

Back

Use the formula: θ = arctan(Opposite/Adjacent).