Trig Review

Front

What is the definition of the opposite side in a right triangle?

Back

The opposite side is the side opposite to the angle of interest in a right triangle.

Front

What is the definition of the adjacent side in a right triangle?

Back

The adjacent side is the side next to the angle of interest 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): a² + b² = c².

Front

If one leg of a right triangle is 5 and the other leg is 12, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 5² + 12² = 25 + 144 = 169, so c = 13.

Front

How do you solve for x using the Pythagorean Theorem?

Back

Rearrange the formula a² + b² = c² to find x, where x is one of the sides.

Front

What is the formula to find the sine of an angle in a right triangle?

Back

Sine (sin) of an angle = Opposite side / Hypotenuse.

Front

What is the formula to find the cosine of an angle in a right triangle?

Back

Cosine (cos) of an angle = Adjacent side / Hypotenuse.

Front

What is the formula to find the tangent of an angle in a right triangle?

Back

Tangent (tan) of an angle = Opposite side / Adjacent side.

Front

If the opposite side is 5 and the hypotenuse is 13, what is the sine of the angle?

Back

Sine = Opposite / Hypotenuse = 5 / 13.

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.