6.3-6.4 Trig Ratios - Finding Sides and Angles

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 the hypotenuse is 34 cm and the opposite side is 16 cm, what is sinC?

Back

sinC = 16/34.

Front

If the adjacent side is 30 cm and the hypotenuse is 34 cm, what is cosC?

Back

cosC = 30/34.

Front

If the opposite side is 12 cm and the adjacent side is 16 cm, what is tanC?

Back

tanC = 12/16.

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 length of a side using trigonometric ratios?

Back

Use the appropriate trig function (sin, cos, or tan) based on the known sides and angles.

Front

What is the formula to find the opposite side if you know the angle and hypotenuse?

Back

Opposite side = hypotenuse × sin(angle).

Front

What is the formula to find the adjacent side if you know the angle and hypotenuse?

Back

Adjacent side = hypotenuse × cos(angle).