8.2 Trig Ratios Updated (Day 1)

Front

What is a trigonometric ratio?

Back

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle. The primary trigonometric ratios are sine, cosine, and tangent.

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

What is the relationship between sine and cosine?

Back

For any angle A, sin(A) = cos(90° - A). This is known as the co-function identity.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

How do you determine if a triangle is a right triangle?

Back

A triangle is a right triangle if it satisfies the Pythagorean theorem: a² + b² = c², where c is the length of the hypotenuse.

Front

What is the sine ratio for angle A if the opposite side is 12 and the hypotenuse is 13?

Back

Front

What is the cosine ratio for angle D if the adjacent side is 3 and the hypotenuse is 5?

Back