Right Triangle Trig

Front

What is the definition of sine in a right triangle?

Back

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

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the SOH-CAH-TOA mnemonic used for?

Back

It is used to remember the definitions of sine, cosine, and tangent in right triangles.

Front

What does 'SOH' stand for in SOH-CAH-TOA?

Back

SOH stands for Sine = Opposite/Hypotenuse.

Front

What does 'CAH' stand for in SOH-CAH-TOA?

Back

CAH stands for Cosine = Adjacent/Hypotenuse.

Front

What does 'TOA' stand for in SOH-CAH-TOA?

Back

TOA stands for Tangent = Opposite/Adjacent.

Front

If sinA = 4/5, what is the length of the opposite side if the hypotenuse is 20?

Back

The length of the opposite side is 16 (4/5 of 20).

Front

If cosP = q/r, what is the relationship between the sides of the triangle?

Back

The length of the adjacent side is q and the length of the hypotenuse is r.

Front

What is the value of tan(30°)?

Back

tan(30°) = @@rac{1}{ oot{3}}@@.