Mathematics | Course : Model Mathematics II (Integrated Pathway)
Domain - Similarity, Right Triangles, and Trigonometry
Cluster - Define trigonometric ratios and solve problems involving right triangles.
[MII.G-SRT.C.8] - Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*
- Pythagorean Theorem
For any right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse. - Ratio
A relationship between quantities such that for every a units of one quantity there are b units of the other. A ratio is often denoted by a:b and read “a to b”.
[MII.G-SRT.C.6] -
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
[MII.G-SRT.C.7] -
Explain and use the relationship between the sine and cosine of complementary angles.
[MIII.G-SRT.D.10] -
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
[MIII.G-SRT.D.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).
[PC.G-SRT.D.10] -
(+) Prove the Laws of Sines and Cosines and use them to solve problems.