Trigonometry Vocabulary

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). It is expressed as a² + b² = c².

Front

What is the formula for cosine in a right triangle?

Back

Cosine of angle B (cos(B)) is defined as the ratio of the length of the adjacent side (X) to the length of the hypotenuse (Z). Therefore, cos(B) = X / Z.

Front

What are tangents in trigonometry?

Back

Tangents are the ratios of the lengths of the sides opposite and adjacent to an angle in a right triangle. Specifically, tan(B) = opposite / adjacent.

Front

What is the sine function in a right triangle?

Back

Sine of angle B (sin(B)) is defined as the ratio of the length of the opposite side (Y) to the length of the hypotenuse (Z). Therefore, sin(B) = Y / Z.

Front

What is the relationship between sine and cosine?

Back

In a right triangle, sine and cosine are related through the identity sin²(B) + cos²(B) = 1.

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

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the tangent function in terms of sine and cosine?

Back

The tangent of an angle (tan(B)) can be expressed as the ratio of sine to cosine: tan(B) = sin(B) / cos(B).

Front

What is the cosine of 90 degrees?

Back

The cosine of 90 degrees is 0.

Front

What is the sine of 0 degrees?

Back

The sine of 0 degrees is 0.