Right Triangle Trig Assignment

Front

What is 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 function?

Back

The sine function (sin) is a trigonometric function defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function (cos) is a trigonometric function defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

How do you find the angle using sine?

Back

To find an angle using sine, use the formula: angle = sin⁻¹(opposite/hypotenuse).

Front

How do you find the angle using cosine?

Back

To find an angle using cosine, use the formula: angle = cos⁻¹(adjacent/hypotenuse).

Front

How do you find the angle using tangent?

Back

To find an angle using tangent, use the formula: angle = tan⁻¹(opposite/adjacent).

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of each leg.