SOLUTION: If {{{x = (a) sin (theeta) - (b) cos (theeta)}}} and {{{y = (a) cos (theeta) + (b) sin (theeta)}}}, show that {{{(x)^2 + (y)^2 = (a)^2 + (b)^2}}} .

Algebra ->  Trigonometry-basics -> SOLUTION: If {{{x = (a) sin (theeta) - (b) cos (theeta)}}} and {{{y = (a) cos (theeta) + (b) sin (theeta)}}}, show that {{{(x)^2 + (y)^2 = (a)^2 + (b)^2}}} .       Log On


   

Question 438253: If x+=+%28a%29+sin+%28theeta%29+-+%28b%29+cos+%28theeta%29 and y+=+%28a%29+cos+%28theeta%29+%2B+%28b%29+sin+%28theeta%29, show that %28x%29%5E2+%2B+%28y%29%5E2+=+%28a%29%5E2+%2B+%28b%29%5E2 .

Found 2 solutions by robertb, Alan3354:
Answer by robertb(5830) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's theta, not theeta.
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I got an email and looked it up, and it is "theeta" in some other language.
I don't know what that language is, tho.
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I replied to you email questions, but I get a kick-back on the email I send.