Trigonometry Ratios

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(θ) = 0.5, what is θ?

Back

θ = 30° or θ = 150°.

Front

What is the Pythagorean theorem?

Back

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

Front

How do you find the missing angle in a right triangle?

Back

Use the fact that the sum of angles in a triangle is 180°, and in a right triangle, one angle is 90°.

Front

What is the value of cos(0°)?

Back

cos(0°) = 1.

Front

What is the value of sin(90°)?

Back

sin(90°) = 1.

Front

If tan(θ) = 1, what is θ?

Back

θ = 45°.

Front

What is the relationship between sine and cosine?

Back

sin(θ) = cos(90° - θ).