Right Triangle Trigonometry

Front

What is a right triangle?

Back

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

Front

What are the sides of a right triangle called?

Back

The 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 opposite side in relation to an angle in a right triangle?

Back

The opposite side is the side that is opposite to the angle being considered.

Front

What is the adjacent side in relation to an angle in a right triangle?

Back

The adjacent side is the side that is next to the angle being considered and is not the 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 tangent ratio?

Back

To find the length of the opposite side, multiply the length of the adjacent side by the tangent of the angle (opposite = adjacent * tan(θ)).

Front

What is the inverse tangent function used for?

Back

The inverse tangent function (tan⁻¹) is used to find an angle when the lengths of the opposite and adjacent sides are known.

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).