Trig Practice

Front

What is the sine ratio in a right triangle?

Back

The sine ratio (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Front

What does SOH CAH TOA stand for?

Back

SOH CAH TOA is a mnemonic to remember the definitions of sine, cosine, and tangent: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

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

Back

To find the length of a side using sine, use the formula: sin(angle) = opposite/hypotenuse. Rearranging gives: opposite = hypotenuse * sin(angle).

Front

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

Back

To find the length of a side using cosine, use the formula: cos(angle) = adjacent/hypotenuse. Rearranging gives: adjacent = hypotenuse * cos(angle).

Front

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

Back

To find the length of a side using tangent, use the formula: tan(angle) = opposite/adjacent. Rearranging gives: opposite = adjacent * tan(angle).

Front

What is the relationship between the angles and sides in a right triangle?

Back

In a right triangle, the sum of the angles is always 180 degrees, and the side lengths are proportional to the sine, cosine, and tangent of the angles.

Front

If sin(33) = x/14, what is x?

Back

x = 14 * sin(33).

Front

If cos(33) = 14/x, what is x?

Back

x = 14 / cos(33).