if sine A=cosA then find the valu of A
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Answer:
Sin A = Cos A
By squaring both side
Sin^2A - cos^2A = 0 .... (i)
Since sin^2A + cos^2A =1..... (ii)
Adding equation (i) & (ii), we get
2sin^2A =1
Sin^2A=1/2
SinA =1/root 2
A=sin^-1(1/root2)
Therefore A = pi/4 or 45°
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