Right Triangle Trig Exit Ticket

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

In a right triangle, what is the relationship between the sides and angles?

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

Front

What is the Pythagorean theorem?

Back

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

How do you find the sine (sin) of an angle in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How do you find the cosine (cos) of an angle in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the length of the sides in a 30-60-90 triangle if the shortest side is 8?

Back

In a 30-60-90 triangle, the sides are in the ratio 1:√3:2. If the shortest side is 8, the lengths are u = 8 and v = 8√3.

Front

If tanX = 32/24, what is the value of tanX in simplest form?

Back

tanX = 4/3.

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

Use the Pythagorean theorem: c = √(a² + b²).

Front

What is the relationship between sine and cosine in a right triangle?

Back

sin(θ) = cos(90° - θ).

Front

How do you calculate the length of the opposite side if you know the angle and the hypotenuse?

Back

Use the formula: opposite = hypotenuse × sin(θ).