SOLUTION: Eliminate 0(theta)between the equation
q tan 0(theta) + p sec 0(theta)=x
p tan 0(theta) + q sec 0(theta)=y
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-> SOLUTION: Eliminate 0(theta)between the equation
q tan 0(theta) + p sec 0(theta)=x
p tan 0(theta) + q sec 0(theta)=y
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Question 319403: Eliminate 0(theta)between the equation
q tan 0(theta) + p sec 0(theta)=x
p tan 0(theta) + q sec 0(theta)=y Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Eliminate 0(theta)between the equation
q tan(theta) + p sec(theta)=x
p tan(theta) + q sec(theta)=y
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Rearrange:
q tan(theta) + p sec(theta)=x
q sec(theta) + p tan(theta)=y
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Multiply thru the 1st equation by sec(theta)
Multiply thru the 2nd equation by tan(theta)
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q(sec)(tan) + p sec^2 = x*sec
q(sec)(tan) + p tan^2 = y*tan
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Subtract the 2nd equation from the 1st to get:
p(sec^2-tan^2) = x*sec-y*tan
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Note sec^2-tan^2 = 1
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p = x*sec-y*tan
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Substitute for "p" and solve for "q".
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Cheers,
Stan H.
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