Basic Trig Ratios

Front

What is the definition of a right triangle?

Back

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

Front

What are the three sides of a right triangle called?

Back

The three sides of a right triangle are called the opposite side, adjacent side, and hypotenuse.

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

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse: sin(θ) = opposite/hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = opposite/adjacent.

Front

How do you find the length of the opposite side using the sine ratio?

Back

To find the length of the opposite side, multiply the hypotenuse by the sine of the angle: opposite = hypotenuse * sin(θ).

Front

How do you find the length of the adjacent side using the cosine ratio?

Back

To find the length of the adjacent side, multiply the hypotenuse by the cosine of the angle: adjacent = hypotenuse * cos(θ).

Front

How do you find the length of the hypotenuse using the Pythagorean theorem?

Back

The length of the hypotenuse can be found using the Pythagorean theorem: hypotenuse = √(opposite² + adjacent²).

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c².