Course: H.S. Precalculus: Trigonometry

 

TR.T.4

Prove the Laws of Sines and Cosines.

I Can Statements Academic Vocabulary

*I can prove the Laws of Sines and Cosines by drawing and using altitudes in both acute and obtuse triangles.

Law of Sines
Law of Cosine
Altitude
Triangle Sum Theorem
Complementary angles

Looking Back Looking Ahead

*Develop geometric proofs, including those involving coordinate geometry, using two-column, paragraph, and flow chart formats. (MA.G.LP.4)

*Use tools to explain and justify the process to construct altitudes. (MA.G.PL.3)

*Explore the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle. (MA.G.T.7)

*The concepts and skills in this standard are an integral part of calculus, college-level algebra, and beyond.

Clarifying Examples and Digital Resources
Click here for clarifying examples and digital resources aligned to Indiana standards. These are intended to expand each standard to support instruction in the classroom as evidenced by the Eight Mathematics Teaching Practices put forth by the National Council of Teachers of Mathematics (NCTM).