Right Triangle Trigonometry

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 ratio for sine (sin) in a right triangle?

Back

sin θ = Opposite side / Hypotenuse.

Front

What is the ratio for cosine (cos) in a right triangle?

Back

cos θ = Adjacent side / Hypotenuse.

Front

What is the ratio for tangent (tan) in a right triangle?

Back

tan θ = Opposite side / Adjacent side.

Front

If sin A = 3/5, what is the length of the hypotenuse if the opposite side is 3?

Back

The hypotenuse is 5.

Front

If cos B = 4/5, what is the length of the adjacent side if the hypotenuse is 5?

Back

The adjacent side is 4.

Front

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

Back

To find a side using sine, use the formula: sin θ = Opposite / Hypotenuse, and rearrange to find the unknown side.

Front

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

Back

To find a side using cosine, use the formula: cos θ = Adjacent / Hypotenuse, and rearrange to find the unknown side.

Front

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

Back

To find a side using tangent, use the formula: tan θ = Opposite / Adjacent, and rearrange to find the unknown side.