Special Right Triangles & Unit Circle

Front

What are the side lengths of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of a leg.

Front

What is the relationship between the angles and sides in a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the length of the side opposite the 30° angle is half the length of the hypotenuse, and the length of the side opposite the 60° angle is √3 times the length of the side opposite the 30° angle.

Front

How do you find the hypotenuse of a right triangle using 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

What is the value of sin(45°)?

Back

sin(45°) = √2/2.

Front

What is the value of cos(45°)?

Back

cos(45°) = √2/2.

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.

Front

What are the coordinates of the point on the unit circle at 30°?

Back

The coordinates are (√3/2, 1/2).

Front

What are the coordinates of the point on the unit circle at 60°?

Back

The coordinates are (1/2, √3/2).

Front

What is the value of tan(π/4)?

Back

tan(π/4) = 1.

Front

How do you find the sine of a negative angle?

Back

sin(-θ) = -sin(θ).