Adaptive Perseverance: Persist in solving complex problems despite challenges.
Critical Thinking: Analyze and solve complex trigonometric problems, identifying connections and distinctions.
Collaboration: Work together to solve problems and learn from each other’s approaches.
How can the Law of Sines be used to solve real-world problems involving non-right triangles?
In what ways does the Law of Cosines extend our ability to solve for unknown sides and angles in triangles?
How can we verify trigonometric identities to simplify complex expressions and solve equations?
Students will be able to verify trigonometric identities and solve trigonometric equations with accuracy.
Students will demonstrate the application of the Law of Sines to find unknown sides and angles in non-right triangles.
Students will apply the Law of Cosines to solve for unknown sides and angles in various types of triangles.
Graphing linear equations using slope, intercepts as well as graphing non linear equations.
Testing functions for symmetry and finding their intersection points.
Recognize and explain the Unit Circle and its functions.
HSG-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.
HSG-SRT.C.7: Explain and use the relationship between the sine and cosine of complementary angles.
HSG-SRT.C.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
HSG-SRT.D.9: Derive the formula A = 1/2ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
HSG-SRT.D.10: Prove the Laws of Sines and Cosines and use them to solve problems.
HSG-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.
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