Trig Flashcard

Front

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

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

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

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the relationship between the angles in a right triangle?

Back

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

Front

What is a 45-45-90 triangle?

Back

A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees.

Front

What is the length of the hypotenuse in a 45-45-90 triangle if each leg is of length x?

Back

The length of the hypotenuse is @@x adical{2}@@.

Front

What is a 30-60-90 triangle?

Back

A 30-60-90 triangle has angles of 30 degrees, 60 degrees, and 90 degrees, with side lengths in the ratio 1:@@ adical{3}@@:2.

Front

How do you find the length of a side in a right triangle using the Pythagorean theorem?

Back

Front

What is the formula for finding the area of a triangle?

Back

Front

What is the definition of an angle?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex).