Trigonometric Ratios

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

Find sin(θ) if Opposite = 5 and Hypotenuse = 13.

Back

sin(θ) = 5/13.

Front

Find cos(θ) if Adjacent = 12 and Hypotenuse = 13.

Back

cos(θ) = 12/13.

Front

Find tan(θ) if Opposite = 5 and Adjacent = 12.

Back

tan(θ) = 5/12.

Front

What is the Pythagorean theorem?

Back

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

Front

If sin(θ) = 3/5, what is cos(θ)?

Back

cos(θ) = 4/5 (using the Pythagorean identity).

Front

If tan(θ) = 3/4, what is sin(θ)?

Back

sin(θ) = 3/5 (using the definition of tangent and Pythagorean theorem).

Front

What is the relationship between sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.