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9. Solve problems that involve two and three right triangles
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Overview
Find the exact value of trigonometric ratios
What You'll Learn
Identify the two special right triangles and their side ratios (30-60-90 and 45-45-90)
Apply SOHCAHTOA to find sine, cosine, and tangent using reference angles
Calculate all six trigonometric ratios including cosecant, secant, and cotangent
Determine positive and negative values based on quadrant locations
Use reference angles between the terminal arm and x-axis to evaluate ratios
What You'll Practice
1
Finding exact trigonometric values for angles like 30°, 60°, 120°, 225°, and 300°
2
Drawing standard position angles and identifying the correct reference angle
3
Calculating reciprocal ratios (cosecant, secant, cotangent) from primary ratios
4
Determining which trigonometric functions are positive in each quadrant
Why This Matters
Finding exact trigonometric values is essential for solving advanced problems in precalculus, calculus, and physics. Mastering special triangles and reference angles lets you evaluate trig functions without a calculator, building the foundation for analyzing periodic functions, vectors, and waves.
This Unit Includes
4 Video lessons
Practice exercises
Skills
Special Triangles
Reference Angles
SOHCAHTOA
Trigonometric Ratios
Reciprocal Functions
Quadrant Analysis
Exact Values
MB Curriculum Aligned