SOLUTION: You are supposed to show the steps it takes to get the answer:
(sinłA + cosłA)/ (sin A + cos A)= 1 - sin A cos A
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Question 993815: You are supposed to show the steps it takes to get the answer:
(sinłA + cosłA)/ (sin A + cos A)= 1 - sin A cos A
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.
Use this equality:
= ..
It is the standard factorization and it is described in any systematic Algebra textbook. See, for example, the lesson The cube of the sum formula in this site.
Therefore, = .
Now substitute x = sin(A), y = cos(A) into this formula. You will have
= = .
We took into account that = .
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