Intro to Trigonometry

Front

What is the definition of sine (sin) in a right triangle?

Back

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

Front

What is the definition of cosine (cos) 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 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

If sin X = 20/29, what is the value of cos X?

Back

Using the Pythagorean identity, cos X = √(1 - sin²X) = 21/29.

Front

If tan X = 3/4, what is the value of sin X?

Back

Using the identity tan X = sin X / cos X, sin X = 3/5.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If the opposite side is 20 and the hypotenuse is 29, what is sin X?

Back

sin X = opposite/hypotenuse = 20/29.

Front

If the adjacent side is 21 and the hypotenuse is 29, what is cos X?

Back

cos X = adjacent/hypotenuse = 21/29.

Front

If the opposite side is 20 and the adjacent side is 21, what is tan X?

Back

tan X = opposite/adjacent = 20/21.