Understanding Special Angles: Trigonometric Values for 30° and 60° in Equilateral Triangles
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Master the special angles of 30° and 60° through the properties of equilateral triangles. Learn how to drop a perpendicular bisector to create a 30-60-90 triangle. Memorize key trigonometric values using the SOH-CAH-TOA method for both angles. This guide also covers reference angles and the trigonometric values for 120°, exploring how these relate to the quadrants. Perfect your understanding and application of trigonometric functions to succeed in your math studies. Homework exercises are provided to reinforce these concepts.
Understanding Special Angles: Trigonometric Values for 30° and 60° in Equilateral Triangles
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Presentation Transcript
Equilateral Triangle 60 angles w/ sides = 1 Drop Perpendicular Bisector to form 30-60-90 60 30 1 1 60 60 60 1 30
Memorize!! Trig Values for 30 SOH – CAH – TOA 60 Hyp Opp 30 Adj = 2 reciprocals
Memorize!! Trig Values for 60 SOH – CAH – TOA 60 Hyp Adj 30 Opp reciprocals = 2
Related (Reference) Angles Positive acute that terminal side makes w/ x-axis y Reference for 120 is 60 Have SAME trig values, except possibly sign Sign depends on Quadrant the is in 120 60 x
Find the exact values of the trig functions of 120 y 120 Reference for 120 is 60 Trig Values same as 60 except signs 120 is in QII, x is (–), y is (+) 60 x
Homework #706 Pg. 407 59, 61 – 63, 66 & Do angles & Memorize 30 & 60 Trig Values