G9- GEOMETRY - TRIG. RATIOS _ SOHCAHTOA REVIEW FLASHCARD 2

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent ratios in a right triangle: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

How do you find the height of an object using trigonometric ratios?

Back

To find the height of an object, you can use the tangent ratio: height = distance from the object * tan(angle of elevation).

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

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

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

If sinC = 28/35, what is the value of cosC?

Back

Using the Pythagorean identity, cosC = √(1 - sin²C) = √(1 - (28/35)²) = 21/35.

Front

How do you solve for a missing side in a right triangle?

Back

Use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known sides and the angle.

Front

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

Back

The lengths of the sides of a right triangle are proportional to the sine, cosine, and tangent of its angles.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Front

What is the formula for finding the height of a tree using trigonometry?

Back

Height = distance from the tree * tan(angle of elevation).