Trig Review

Front

What is the definition of Tangent in trigonometry?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

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): c² = a² + b².

Front

How do you calculate the length of the hypotenuse in a right triangle?

Back

Use the Pythagorean theorem: c = √(a² + b²), where c is the hypotenuse, and a and b are the other two sides.

Front

What is the sine function in trigonometry?

Back

Sine (sin) is 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 in trigonometry?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the relationship between sine, cosine, and tangent?

Back

Tangent can be expressed as the ratio of sine to cosine: tan(θ) = sin(θ) / cos(θ).

Front

How do you find the angle θ using the tangent ratio?

Back

Use the inverse tangent function: θ = tan⁻¹(opposite/adjacent).

Front

What is the formula to find the length of a side using the sine function?

Back

Opposite side = Hypotenuse × sin(θ).

Front

What is the formula to find the length of a side using the cosine function?

Back

Adjacent side = Hypotenuse × cos(θ).

Front

If the opposite side is 5 and the adjacent side is 12, what is tan(θ)?

Back

tan(θ) = 5/12.