Right Triangle Trig

Front

What is 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 sine function?

Back

The sine function (sin) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function?

Back

The cosine function (cos) of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function?

Back

The tangent function (tan) of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the relationship between sine and cosine?

Back

For any angle θ, sin(θ) = cos(90° - θ).

Front

What are the special angles in trigonometry?

Back

The special angles are 30°, 45°, and 60°, which have known sine, cosine, and tangent values.

Front

What is the sine of 30 degrees?

Back

sin(30°) = 1/2.

Front

What is the cosine of 60 degrees?

Back

cos(60°) = 1/2.

Front

What is the tangent of 45 degrees?

Back

tan(45°) = 1.