prove that cos^2(alfa-bita)+cos^2bita-2cos(alfa-bita)cosalfa cos bita is independent of bita
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Answer:
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Step-by-step explanation:
Answered by
1
Step-by-step explanation:
cos²(α - β) + cos²(α + β) - cos2α cos2β
⇒ cos²α - cos²β + cos²α + cos²β - cos2α cos2β
⇒ cos(2α) cos(2β) + 1 - cos2α cos2β
⇒ cos(2α) cos(2β) - cos2α cos2β = 1
Therefore,
It is proved that given equation is independent.
Hope it helps!
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