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If p≤(cos2x+6sinx-1)≤q, then (p,q)=
a.(-8,4)
b.(4,8)
c.(-4,8)
d.none of these
Hi Menka,
Form a Quadratic in sinx, by the substitutung for cos2x in terms of sin^2 x.
So you have p≤6sinx-sin^2 x≤q.
Minimum value obtained by substituting sinx=-1 and max value obtained by sinx=1
So p=-8 and q=4.
Which is option (A) but with closed brackets.
Hope that helps.
Best Regards,
Ashwin (IIT Madras).
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