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Q.

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

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a

R

b

[49,∞)

c

49

d

45

answer is B.

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Detailed Solution

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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