Trig Ratios and Side Lengths

Front

What is the definition of cosine in a right triangle?

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of sine in a right triangle?

Back

Sine is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the formula for finding the cosine of an angle?

Back

COS X = Adjacent side / Hypotenuse.

Front

What is the formula for finding the sine of an angle?

Back

SIN X = Opposite side / Hypotenuse.

Front

What is the formula for finding the tangent of an angle?

Back

TAN X = Opposite side / Adjacent side.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is COS X?

Back

COS X = 4/5 = 0.8.

Front

If the opposite side is 3 and the hypotenuse is 5, what is SIN X?

Back

SIN X = 3/5 = 0.6.

Front

If the opposite side is 3 and the adjacent side is 4, what is TAN X?

Back

TAN X = 3/4 = 0.75.

Front

What is the relationship between sine, cosine, and tangent?

Back

TAN X = SIN X / COS X.