Trig ratios

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the mnemonic to remember trigonometric ratios?

Back

Soh Cah Toa.

Front

If sin(θ) = opposite/hypotenuse, what is the value of opposite if sin(30°) = 1/2 and hypotenuse = 10?

Back

The opposite side is 5.

Front

If cos(θ) = adjacent/hypotenuse, what is the value of adjacent if cos(60°) = 1/2 and hypotenuse = 8?

Back

The adjacent side is 4.

Front

What is the height of a tree if a kite is flying at an angle of elevation of 45° and is 100 ft away from the base of the tree?

Back

The height of the tree is 100 ft.

Front

In a right triangle, if one angle is 30°, what are the ratios of the sides?

Back

The ratios are 1:√3:2.

Front

What is the formula to find the height of an object using trigonometric ratios?

Back

Height = distance * tan(angle of elevation).

Front

If a yacht is 90 feet offshore and the angle of elevation to the lighthouse is 26°, how do you find the height of the lighthouse?

Back

Use the formula: height = 90 * tan(26°).