Law of Sine

​Law of Sines

​Math Practices:

G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.

G.SRT.10 Prove the Laws of Sines and Cosines and use them to solve problems.

G.SRT.11 Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

Learning Target:

SWBAT use the SINE rule for non-right-angled triangles to find sides

ATL Skills:

Communication (Communication Skills)

Thinking (Critical Thinking Skills)

Vocabulary: Trigonometry, sine, proportion, side, rearrange, non-right-angled

​Group discussion...

​Find the value of x.

Multiple Choice

Identify the Law of Sines

• $$\sin^2x+\cos^2x=1$$

• $$\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$$

• $$\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$$

• Soh Cah Toa

Multiple Choice

Find the length of Side BC.

• 33

• 24

• 12

• 29

Multiple Choice

What is the measure of angle A?

• $$58\degree$$

• $$61\degree$$

• $$78\degree$$

• $$74\degree$$

Multiple Choice

What is the measure of angle A?

• $$50\degree$$

• $$60\degree$$

• $$78\degree$$

• $$74\degree$$

Multiple Choice

Find x, the measure of the angle.

• 52

• 33

• 41

• 29

Poll

Traffic Light.

https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:trig/x9e81a4f98389efdf:law-of-sines/v/law-of-sines

​https://www.ixl.com/math/geometry/law-of-sines

Open Ended

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