Question

prove that
${sin}^{2} = \frac{ {(a + b)}^{2} }{4ab}$
Is not possible for any real theeta where a, b belongs to R
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Answer 1

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Answer 2

Answer:

The only way I can think of doing this is by rewriting it as

cos2θ=(x+y)24xy

then using some inequalities to prove it by using:

0≤cos2θ≤1 therefore 0≤(x+y)24xy≤1

But I have an aversion to using case-based solutions (checking for x>0, y>0 etc.) since I feel there must be a neater solution to these kind of problems. So my question is: Is it possible to solve this and these sort of questions using techniques that don't involve checking numerous cases?

Step-by-step explanation:

PLS MARK AS BRAINLIEST