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7.3 Special Angles (30  & 60)

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7.3 Special Angles (30  & 60). 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.

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equilateral triangle
Equilateral Triangle

60 angles w/ sides = 1

Drop Perpendicular Bisector to form 30-60-90 

60

30

1

1

60

60

60

1

30

trig values for 30

Memorize!!

Trig Values for 30

SOH –

CAH –

TOA

60

Hyp

Opp

30

Adj

= 2

reciprocals

trig values for 60

Memorize!!

Trig Values for 60

SOH –

CAH –

TOA

60

Hyp

Adj

30

Opp

reciprocals

= 2

related reference angles
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
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
Homework

#706 Pg. 407 59, 61 – 63, 66 &

Do angles

& Memorize 30 & 60 Trig Values

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