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Trig – So far we have... July 2011

Trig – So far we have

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Trig – So far we have. July 2011. Pythagoras c 2 = a 2 + b 2 where c is the hypotenuse = the longest side. SOH - CAH -TOA. 3D Problems. SOH - CAH -TOA. - PowerPoint PPT Presentation

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Page 1: Trig – So far we have

Trig – So far we have...

July 2011

Page 2: Trig – So far we have

Pythagoras c2 = a2 + b2

where c is the hypotenuse = the longest side

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SOH-CAH-TOA

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3D Problems

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SOH-CAH-TOA

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Pythagoras c2 = a2 + b2 so c = (a2 + b2 )^0.5 a2 = c2 - b2 so a = (c2 - b2 )^0.5 b2 = c2 - a2 so b = (c2 - a2 )^0.5

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How to label a triangle

• H = Hypotenuse, which is always opposite the right angle and always the longest side. It does not move, Pythag: H2 = O2 + A2

• O = opposite which is the side opposite the angle we are interested in.

• A = Adjacent which lies between the right angle and the angle we are interested in.

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Which formulae do I use?

Pythag or SOH-CAH-TOA

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Which Formulae ?

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Practical measurementUsing a Clinometer

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3D Problem Solving

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Today:Algebra recap

solve for xax2 + bx + c = 0

Working on problems in the text book and work book.

One group at a time measuring the classroom as per yesterday.

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solve for xax2 + bx + c = 0

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The

Qua

drati

c Fo

rmul

ae P

roof

Page 30: Trig – So far we have

Quad Formula from http://users.rcn.com/mwhitney.massed/quadratic_formula_proof.html

Ms Allan’s Wiki:

http://2011maths.wikispaces.com/NCEA+Level+1+Trig