What is the minimum value of 3cos x + 4sin x + 8?
A) 5
B) 9
C) 7
D) 3
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3cosx+4sinx +8
=5(3/5cosx+4/5sinx)+8
=5(sinacosx+cosasinx)+8
=5sin(a+x)+8
minimum value of sin(a+x)=-1
minimum value =-5+8=3
=5(3/5cosx+4/5sinx)+8
=5(sinacosx+cosasinx)+8
=5sin(a+x)+8
minimum value of sin(a+x)=-1
minimum value =-5+8=3
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