6.2 Trigonometric Ratio Introduction Practice

Front

What is the definition of Sine (Sin) 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 (Cos) 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 (Tan) 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 formula for finding the hypotenuse using the Pythagorean theorem?

Back

The hypotenuse (c) can be found using the formula: c = √(a² + b²), where a and b are the lengths of the other two sides.

Front

If Sin A = 21/29, what is the length of the hypotenuse if the opposite side is 21?

Back

The hypotenuse is 29.

Front

If Cos A = 3/5, what is the length of the adjacent side if the hypotenuse is 5?

Back

The length of the adjacent side is 3.

Front

What is the relationship between the sides of a right triangle and the trigonometric ratios?

Back

The sides of a right triangle are related to the trigonometric ratios (Sin, Cos, Tan) based on their positions relative to the angles.

Front

What is the value of Tan A if Sin A = 3/5 and Cos A = 4/5?

Back

Tan A = Sin A / Cos A = (3/5) / (4/5) = 3/4.

Front

What is the sine of a 30-degree angle?

Back

Sin 30° = 1/2.

Front

What is the cosine of a 60-degree angle?

Back

Cos 60° = 1/2.