Pre AP Chapter 7.6 Sine and Cosine

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

Use the formula: opposite = hypotenuse * sin(angle).

Front

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

Back

Use the formula: adjacent = hypotenuse * cos(angle).

Front

What is the Pythagorean theorem?

Back

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

Front

What is the relationship between sine and cosine?

Back

sin(angle) = cos(90° - angle).

Front

What is the value of sin(30°)?

Back

sin(30°) = 0.5.

Front

What is the value of cos(60°)?

Back

cos(60°) = 0.5.

Front

If the height of a tower is 75 meters and the angle of elevation to the top is 65 degrees, how do you find the length of the wire?

Back

Use the formula: wire length = height / sin(angle).

Front

What is the sine rule in trigonometry?

Back

The sine rule states that a/sin(A) = b/sin(B) = c/sin(C), where a, b, c are the sides of a triangle and A, B, C are the opposite angles.