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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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Trig – So far we have...
July 2011
Pythagoras c2 = a2 + b2
where c is the hypotenuse = the longest side
SOH-CAH-TOA
3D Problems
SOH-CAH-TOA
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
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.
Which formulae do I use?
Pythag or SOH-CAH-TOA
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Practical measurementUsing a Clinometer
3D Problem Solving
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.
solve for xax2 + bx + c = 0
The
Qua
drati
c Fo
rmul
ae P
roof
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