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$The range of the function f (x) = 16 \sec^{2} x + 9 \cos e c^{2} x$

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Correct option is B

f(x)=16sec2x+9cosec2x =16+16tan2x+9+9cot2x =25+16tan2x+9cot2x →(1) Now, 16tan2x+9cot2x2≥16.9(1)=12 ∴fx≥25+24=49 ⇒range of f =[49,∞)

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The range of the function f(x)=16 sec2x+9 cosec2x

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$The range of the function f (x) = 16 \sec^{2} x + 9 \cos e c^{2} x$