Q.
If the function f(x)=Ksin x+2cos xsin x+cos xis strictly increasing for all values of x, then
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a
K<1
b
K>1
c
K<2
d
K>2
answer is D.
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Detailed Solution
Since f(x)=Ksin x+2cos xsin x+cos x is strictly increasing for all x,f′(x)>0 for all xor (K−2)sec2x(sinx+cosx)2>0 for all xor K−2>0 or K>2
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