5.2 Solving Right Triangles (Trig)

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) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function?

Back

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

Front

What is the tangent function?

Back

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

Front

How do you find the length of a side using sine?

Back

To find the length of a side using sine, use the formula: sin(angle) = opposite/hypotenuse.

Front

How do you find the length of a side using cosine?

Back

To find the length of a side using cosine, use the formula: cos(angle) = adjacent/hypotenuse.

Front

How do you find the length of a side using tangent?

Back

To find the length of a side using tangent, use the formula: tan(angle) = opposite/adjacent.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are related through the identity: sin²(angle) + cos²(angle) = 1.

Front

How do you calculate the angle using sine?

Back

To calculate the angle using sine, use the inverse sine function: angle = sin⁻¹(opposite/hypotenuse).