12/3 Warm-Up (Honors)

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

If cos X = 28/41, how do you find angle X?

Back

Use the inverse cosine function: X = cos⁻¹(28/41).

Front

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

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

If sin X = 41/28, what does this imply about angle X?

Back

This implies that angle X is not possible in a right triangle since sine values cannot exceed 1.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the measure of an angle using the tangent function?

Back

Use the inverse tangent function: X = tan⁻¹(opposite/adjacent).

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

If one angle in a triangle is 50.5 degrees and another is 72.2 degrees, how do you find the third angle?

Back

Subtract the sum of the known angles from 180 degrees: 180 - (50.5 + 72.2) = 57.3 degrees.

Front

What is the formula to find the missing angle in a right triangle?

Back

Use the formula: Missing angle = 90 degrees - known angle.

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.