Trigonometric Ratios and Functions

Front

What is the definition of the opposite side in a right triangle?

Back

The side opposite the angle of interest.

Front

What is the definition of the adjacent side in a right triangle?

Back

The side next to the angle of interest, but not the hypotenuse.

Front

What is the definition of the hypotenuse in a right triangle?

Back

The longest side of a right triangle, opposite the right angle.

Front

What is the formula for the sine of an angle (sin X)?

Back

sin X = Opposite/Hypotenuse.

Front

What is the formula for the cosine of an angle (cos X)?

Back

cos X = Adjacent/Hypotenuse.

Front

What is the formula for the tangent of an angle (tan X)?

Back

tan X = Opposite/Adjacent.

Front

How do you identify the hypotenuse in a right triangle?

Back

It is the side directly across from the right angle.

Front

If the length of the hypotenuse is 34 and the opposite side is 16, what is the sine of the angle?

Back

sin X = 16/34 = 0.47.

Front

If the length of the adjacent side is 30 and the hypotenuse is 34, what is the cosine of the angle?

Back

cos X = 30/34 = 0.88.

Front

If the length of the opposite side is 16 and the adjacent side is 30, what is the tangent of the angle?

Back

tan X = 16/30 = 0.53.