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: Sin(A)/a = Sin(B)/b = Sin(C)/c.

Front

What does sin^-1(1/2) equal?

Back

30 degrees.

Front

How do you find an unknown angle using the Law of Sines?

Back

Use the formula: Sin(A)/a = Sin(B)/b, rearranging to find the angle A: A = sin^-1((b * Sin(B))/a).

Front

What is the relationship between 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 a triangle has angles A, B, and C, what is the sum of these angles?

Back

The sum of angles A, B, and C in any triangle is always 180 degrees.

Front

What is the sine of 60 degrees?

Back

The sine of 60 degrees is √3/2.

Front

How can you use the Law of Sines to find a side length?

Back

Rearrange the Law of Sines: a = (Sin(A) * b) / Sin(B).

Front

What is the sine of 30 degrees?

Back

The sine of 30 degrees is 1/2.

Front

If angle A = 45 degrees and side a = 10, what is the length of side b if angle B = 60 degrees?

Back

Using the Law of Sines: b = (10 * Sin(60)) / Sin(45) ≈ 11.31.

Front

What is the sine of 90 degrees?

Back

The sine of 90 degrees is 1.