1A Finding Side Lengths using Trig Practice

Front

What does SOH CAH TOA stand for?

Back

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

Front

How do you find the length of a side using the sine function?

Back

Use the formula: sin(θ) = Opposite/Hypotenuse. Rearrange to find Opposite = Hypotenuse * sin(θ).

Front

How do you find the length of a side using the cosine function?

Back

Use the formula: cos(θ) = Adjacent/Hypotenuse. Rearrange to find Adjacent = Hypotenuse * cos(θ).

Front

How do you find the length of a side using the tangent function?

Back

Use the formula: tan(θ) = Opposite/Adjacent. Rearrange to find Opposite = Adjacent * tan(θ).

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the side opposite the right angle and is the longest side of the triangle.

Front

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

Back

Opposite = Hypotenuse * sin(30°) = 10 * 0.5 = 5.

Front

If the angle is 60 degrees and the hypotenuse is 12, what is the length of the adjacent side?

Back

Adjacent = Hypotenuse * cos(60°) = 12 * 0.5 = 6.

Front

What is the formula for finding the tangent of an angle?

Back

tan(θ) = Opposite/Adjacent.

Front

In a right triangle, if one angle is 45 degrees, what can you say about the lengths of the legs?

Back

The lengths of the legs are equal.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

The lengths of the sides are in the ratio 1:√3:2.