Trigonometry

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 does SOH CAH TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150°.

Front

How do you find the length of a side using sine?

Back

Use the formula: Opposite = Hypotenuse * sin(θ).

Front

How do you find the length of a side using cosine?

Back

Use the formula: Adjacent = Hypotenuse * cos(θ).

Front

How do you find the length of a side using tangent?

Back

Use the formula: Opposite = Adjacent * tan(θ).

Front

What is the Pythagorean theorem?

Back

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

Front

If the hypotenuse is 70 m and the angle is 68°, what is the length of the opposite side?

Back

Opposite = 70 * sin(68°) ≈ 65.5 m.