Trig Missing angles and sides

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

How do you find the angle using the tangent ratio?

Back

To find the angle, use the inverse tangent function: angle = tan^-1(opposite/adjacent).

Front

What is the formula to find the length of a side in a right triangle using the sine function?

Back

The length of the opposite side = hypotenuse × sin(angle).

Front

What is the formula to find the length of a side in a right triangle using the cosine function?

Back

The length of the adjacent side = hypotenuse × cos(angle).

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

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one, otherwise keep it the same.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

What is the sine 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

What is the cosine of an angle 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 purpose of using inverse trigonometric functions?

Back

Inverse trigonometric functions are used to find angles when the lengths of the sides are known.