7 3 special angles 45 quadrantal
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7.3 Special Angles (45  & Quadrantal ) PowerPoint PPT Presentation


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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 .

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7.3 Special Angles (45  & Quadrantal )

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7 3 special angles 45 quadrantal

7.3 Special Angles(45 & Quadrantal)


Isosceles right triangle

Isosceles Right Triangle

45 angles w/ hypotenuse = 1

2 sides are equal

45

1

45


Trig values for 45

Memorize!!

Trig Values for 45

SOH –

CAH –

TOA

Hyp

Opp

45

Adj

reciprocals


Trig values for 180

Trig Values for 180

x = -1

y = 0

r = 1

180

(-1, 0)

reciprocals


Quadrantal angles

Quadrantal Angles

0, 90, 180, 270

90

(0, 1)

0

180

(1, 0)

(-1, 0)

(0, -1)

270


Ex 1 find the related angle of 237

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

Find the exact values of the trig functions of 135

135

y

Reference  for 135 is 45

135 is in QII, x is (–), y is (+)

45

x


Homework

Homework

#707 Pg. 407 41 – 50 all, 60, 64, 65

& Memorize 45 & Quadrantal Angle Trig Values


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