7.3 Special Angles (45 & Quadrantal)

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Presentation transcript:

7.3 Special Angles (45 & Quadrantal)

Isosceles Right Triangle 45 angles w/ hypotenuse = 1 2 sides are equal 45 1 45

Memorize!! Trig Values for 45 SOH – CAH – TOA Hyp Opp 45 Adj reciprocals

Trig Values for 180 x = -1 y = 0 r = 1 180 (-1, 0) reciprocals

Quadrantal Angles 0, 90, 180, 270 90 0 180 270 (0, 1) (1, 0) (-1, 0) (1, 0) (0, -1) 270

Ex 1) Find the related angle of 237 y 237 180 x 237 – 180 = 57 (+) acute 270

Find the exact values of the trig functions of 135 y Reference  for 135 is 45 135 is in QII, x is (–), y is (+) 45 x

Homework #707 Pg. 407 41 – 50 all, 60, 64, 65 & Memorize 45 & Quadrantal Angle Trig Values