HW: Dec 12 Law of Sines

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides and angles in the triangle.

Front

How do you use the Law of Sines to find a missing side?

Back

To find a missing side, set up the ratio of the known side to the sine of its opposite angle equal to the unknown side over the sine of its opposite angle.

Front

If a triangle has sides a, b, and c, and angles A, B, and C, what is the formula for the Law of Sines?

Back

The formula is: (a/sin(A)) = (b/sin(B)) = (c/sin(C)).

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

How can you find an angle using the Law of Sines?

Back

To find an angle, rearrange the Law of Sines formula to solve for the sine of the angle, then use the inverse sine function.

Front

What is the relationship between the angles and sides in a triangle according to the Law of Sines?

Back

The larger the angle, the longer the opposite side; the smaller the angle, the shorter the opposite side.

Front

If angle A is 30 degrees and side a is 10, what is the sine of angle A?

Back

sin(30 degrees) = 0.5.

Front

If you know two angles and one side of a triangle, how can you find the other sides?

Back

Use the Law of Sines to set up ratios based on the known angles and the known side.

Front

What is the significance of the Law of Sines in solving triangles?

Back

It allows for the calculation of unknown sides and angles in non-right triangles.

Front

What is the first step in applying the Law of Sines?

Back

Identify the known sides and angles in the triangle.