Trig: Missing Sides and Angles

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 is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the sine ratio in a right triangle?

Back

The sine ratio (sin) 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 (cos) 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 (tan) 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 measure of an angle using the sine ratio?

Back

To find the measure of an angle using the sine ratio, use the inverse sine function: θ = sin⁻¹(opposite/hypotenuse).

Front

How do you find the measure of an angle using the cosine ratio?

Back

To find the measure of an angle using the cosine ratio, use the inverse cosine function: θ = cos⁻¹(adjacent/hypotenuse).

Front

How do you find the measure of an angle using the tangent ratio?

Back

To find the measure of an angle using the tangent ratio, use the inverse tangent function: θ = tan⁻¹(opposite/adjacent).

Front

What is the relationship between the angles in a triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

What is the definition of an angle?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex).