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

What is the Pythagorean theorem?

Back

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

Front

If sin X = 3/5, what is cos X?

Back

Using the Pythagorean identity, cos X = √(1 - sin²X) = 4/5.

Front

What is the relationship between sine and cosine?

Back

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

Front

How do you find the angle using the tangent ratio?

Back

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

Front

What is the value of tan 45°?

Back

tan 45° = 1.

Front

If cos 30° = √3/2, what is sin 30°?

Back

sin 30° = 1/2.

Front

What is the sine rule in a triangle?

Back

In any triangle, a/sin A = b/sin B = c/sin C, where a, b, c are the sides opposite angles A, B, C.