1A Finding Side Lengths using Trig Practice

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

How do you find the length of a side in a right triangle using trigonometry?

Back

Use the appropriate trigonometric function (sine, cosine, or tangent) based on the known angles and sides.

Front

What is the sine function?

Back

The sine function relates the angle of a right triangle to the ratio of the length of the opposite side to the hypotenuse.

Front

What is the cosine function?

Back

The cosine function relates the angle of a right triangle to the ratio of the length of the adjacent side to the hypotenuse.

Front

What is the tangent function?

Back

The tangent function relates the angle of a right triangle to the ratio of the length of the opposite side to the adjacent side.

Front

If the angle is 30 degrees and the hypotenuse is 10, what is the length of the opposite side?

Back

Using sine: Opposite = Hypotenuse * sin(30) = 10 * 0.5 = 5.

Front

If the angle is 60 degrees and the adjacent side is 5, what is the length of the hypotenuse?

Back

Using cosine: Hypotenuse = Adjacent / cos(60) = 5 / 0.5 = 10.

Front

If the angle is 45 degrees and the opposite side is 7, what is the length of the adjacent side?

Back

Using tangent: Adjacent = Opposite / tan(45) = 7 / 1 = 7.

Front

What is the formula to find the opposite side using sine?

Back

Opposite = Hypotenuse * sin(angle).

Front

What is the formula to find the adjacent side using cosine?

Back

Adjacent = Hypotenuse * cos(angle).