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 the angle opposite that side is constant for all three sides and angles in the triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

To find an unknown angle using the Law of Sines, you can use the formula: sin(A)/a = sin(B)/b = sin(C)/c, where A, B, and C are the angles and a, b, and c are the lengths of the sides opposite those angles.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the sine of 30 degrees?

Back

The sine of 30 degrees is 1/2.

Tags

CCSS.HSG.SRT.C.7

Front

What is the sine of 90 degrees?

Back

The sine of 90 degrees is 1.

Tags

CCSS.HSG.SRT.C.7

Front

What is the cosine of 0 degrees?

Back

The cosine of 0 degrees is 1.

Tags

CCSS.HSG.SRT.C.7

Front

What is the cosine of 90 degrees?

Back

The cosine of 90 degrees is 0.

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, the sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse, while the cosine of the angle is equal to the length of the adjacent side divided by the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What does 'Soh Cah Toa' represent?

Back

'Soh Cah Toa' is a mnemonic device used to remember the definitions of sine, cosine, and tangent: Soh = sin = opposite/hypotenuse, Cah = cos = adjacent/hypotenuse, Toa = tan = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

How can you find the measure of an angle using inverse trigonometric functions?

Back

You can find the measure of an angle using inverse trigonometric functions (like sin^-1, cos^-1, tan^-1) by applying the function to the ratio of the sides of the triangle.

Tags

CCSS.HSG.SRT.C.8

Front

What is the sine of 45 degrees?

Back

The sine of 45 degrees is √2/2.

Tags

CCSS.HSG.SRT.C.7