Trig: Missing Sides and Angles

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 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

How do you find the missing side of a right triangle using the Pythagorean theorem?

Back

Use the formula a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Front

What is the sine (sin) of an angle in a right triangle?

Back

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

Front

How do you calculate the angle using the inverse tangent function?

Back

Use the formula angle = tan⁻¹(opposite/adjacent).

Front

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

Back

The angles in a right triangle are related to the ratios of the lengths of the sides.

Front

What is the value of tan(34°) approximately?

Back

0.6745.

Front

What is the value of cos(41°) approximately?

Back

0.7547.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Front

What is the formula to find the length of a side using sine?

Back

Length = hypotenuse × sin(angle).