Trigonometry

Front

What is the definition of sine in a right triangle?

Back

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

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

How do you find the angle using sine?

Back

To find the angle, use the inverse sine function: angle = sin⁻¹(opposite/hypotenuse).

Front

How do you find the angle using cosine?

Back

To find the angle, use the inverse cosine function: angle = cos⁻¹(adjacent/hypotenuse).

Front

How do you find the angle using tangent?

Back

To find the angle, use the inverse tangent function: angle = tan⁻¹(opposite/adjacent).

Front

What is the range of sine and cosine functions?

Back

The range of sine and cosine functions is from -1 to 1.

Front

What is the range of the tangent function?

Back

The range of the tangent function is all real numbers.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are complementary functions: sin(θ) = cos(90° - θ).