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B
4
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C
Does not exist
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D
None of these
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Solution
The correct option is D None of these 4sin2x−12sinx+7 =4(sin2x−3sinx)+7 =[(sinx−32)2−94]+7 =4(sinx−32)2−9+7 =4(sinx−32)2−2 We know that , −1≤sinx≤1 ⇒−52≤sinx−32≤−12 ⇒14≤(sinx−32)2≤254 ⇒1≤4(sinx−32)2≤25 ⇒−1≤4(sinx−32)2−2≤23