sin(x+(pi/4))=A(sin(x))+B(cos(x))
where the exact values of A and B are:
1) A=?
2) B=?
where the exact values of A and B are:
1) A=?
2) B=?
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You should know these identities.
sin(x + (π/4)) = sin(x) cos(π/4) + cos(x) sin(π/4) = (√2/2) sin(x) + (√2/2) cos(x)
Therefore, A = B = √2/2
sin(x + (π/4)) = sin(x) cos(π/4) + cos(x) sin(π/4) = (√2/2) sin(x) + (√2/2) cos(x)
Therefore, A = B = √2/2