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Q.

The minimum value of the function f(x) = (3sin x - 4 cos x -10)(3sin x + 4 cos x - 10), is

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a

49

b

1956022

c

84

d

48

answer is A.

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Detailed Solution

f(x)=9sin2x16cos2x10(3sinx4cosx)10(3sinx+4cosx)+100 =25sin2x60sinx+84=(5sinx6)2+48

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