Summary of Chapter 6.1 – 6.3 Terminology: • • • • Basics: – Ray – a half line – Angle – joining of two rays – Vertex – common endpoint of rays forming an angle – Coterminal Rays – same endpoint Special Angles: – Straight angle -- 180 – Right angle – 90 – Complementary angles – sum to 90 – Supplementary angles – sum to 180 Decimals vs. Degrees/Minutes/Seconds – 60 min in a degree – 60 sec in a minute Measure of an angle is from initial to terminal side (ray) – 0 is along the x axis – Positive angles are counterclockwise – Negative angles are clockwise – 360 is a full revolution • Quadrant definitions • Side lengths of: • – 45-45-90 triangle – 30-60-90 triangle Triangle types – Right triangle – one side is 90 – Acute – all three angles < 90 • – Obtuse – one angle > 90 – Equilateral – all sides equal – Isosceles – two sides equal – Scalene – no sides equal – Largest side is opposite largest angle, etc. Similar Triangles – Equal angles – Proportional sides • Definitions of 6 trig functions SOHCAHTOA • Signs of trig functions in four quadrants: ASTC • 30-60-90 and 45-45-90 trig values • Using Pythagorean Theorem to find trig values • Reciprocal Identities
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