Okay, this week we started chapter 8 Trigonometry equations. Here are some formulas to remember:
Solving for a line:
m=tan alpha
Solving for a conic:
tan 2alpha= B/A-C
If A=C then alpha = pi/4 (always)
m=slope
alpha=angle of inclination
Example:
Find the angle of inclination of
x^2-2xy+3y^2=1
tan 2alpha=B/A-C
A=1 B=-2 C=3 (tan is +ve in 1&3)
tan 2alpha= -2/1-3=1
tan 2alpha=1
2alpha=tan^-1(1)
2alpha=45,225 degrees
2alpha=45/2, 225/2
alpha= pi/4
Happy Thanksgiving!
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hey alicia thankyou for this..i totally forgot about the whole conic think and how to solve for it. This is something that i needed alot of help on so thankyou for this
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