Sine, Cosine, or Tangent

Front

What is the definition of sine 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 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 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 Z = 15/17, what is the length of the hypotenuse if the opposite side is 15?

Back

The hypotenuse is 17.

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(90° - θ) = cos(θ) and cos(90° - θ) = sin(θ).

Front

How do you find the angle using the sine function?

Back

Use the inverse sine function: θ = sin⁻¹(opposite/hypotenuse).

Front

How do you find the angle using the cosine function?

Back

Use the inverse cosine function: θ = cos⁻¹(adjacent/hypotenuse).

Front

How do you find the angle using the tangent function?

Back

Use the inverse tangent function: θ = tan⁻¹(opposite/adjacent).

Front

What is the value of tan 44 if the opposite side is 15?

Back

tan 44 = 15/x, where x is the length of the adjacent side.

Front

What is the Pythagorean theorem?

Back

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