Trig Ratios

Front

What is the definition of a trigonometric ratio?

Back

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle.

Front

What are the three primary trigonometric functions?

Back

Sine (sin), Cosine (cos), and Tangent (tan).

Front

How can you remember the definitions of sine, cosine, and tangent?

Back

Using the mnemonic 'Soh Cah Toa': Soh = sin = opposite/hypotenuse, Cah = cos = adjacent/hypotenuse, Toa = tan = opposite/adjacent.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

If you know the lengths of the opposite and adjacent sides, which trig function do you use?

Back

You use the tangent function.

Front

What is the relationship between the sides of a right triangle and the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is the value of sin(90°)?

Back

The value of sin(90°) is 1.

Front

What is the value of cos(0°)?

Back

The value of cos(0°) is 1.