Intro to Trigonometric 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 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

How do you find the hypotenuse in a right triangle?

Back

The hypotenuse can be found using the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are complementary functions; sin(A) = cos(90° - A).

Front

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

Back

sin(A) = opposite/hypotenuse.

Front

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

Back

cos(A) = adjacent/hypotenuse.

Front

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

Back

tan(A) = opposite/adjacent.

Front

What is the hypotenuse in a right triangle with sides of length 30 and 40?

Back

The hypotenuse is 50, calculated using the Pythagorean theorem.