if sin square A + cos square is equals to 1 find the value of cos square A + sin square B
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Answer:
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Answered by
5
if Sin²A + Cos²B = 1 then Cos²A + Sin²B = 1
Step-by-step explanation:
Given :
Sin²A + Cos²B = 1
To FInd :
Cos²A + Sin²B
Sin²A + Cos²B = 1
as we know that
Sin²θ + Cos²θ = 1
=> Sin²A = 1 - Cos²A
& Cos²B = 1 - Sin²B
putting these value in Above Equation
1 - Cos²A + 1 - Sin²B = 1
=> 2 = 1 + Cos²A + Sin²B
=> 1 = Cos²A + Sin²B
=> Cos²A + Sin²B = 1
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