Question
Rewrite 4sin(x)-5cos(x) as Asin(x+phi)
Answers
Steve
4sin(x)-5cos(x)
= √41 (4/√41 sinx - 5/√41 cosx)
so,
cosØ = 4/√41
sinØ = -5/√41
Ø = -0.896
Note that Ø is in QIV, since sinØ is negative
= √41 (4/√41 sinx - 5/√41 cosx)
so,
cosØ = 4/√41
sinØ = -5/√41
Ø = -0.896
Note that Ø is in QIV, since sinØ is negative
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