find the minimum and maximum values of f(x)=7cosx-24sinx+5
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25,-25
We know that the maximum and minimum values of acosx+bsinx are
a
2
+b
2
and −
a
2
+b
2
respectively.
Hence, the maximum and minimum values of 7cosx+24sinx are
7
2
+24
2
=25 and −
7
2
+24
2
=−25 respectively.
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