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Question

A+B=900, cosAcosB

A
[13,13]
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B
[12,12]
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C
[14,14]
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D
[34,34]
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Solution

The correct option is D [12,12]
Let f(x)=cosAcosB
Given A+B=90o
f(x)=cosAcos(90oA), f(x)=cosAsinA=sin2A2
max. value of f(x)=12

min. value of f(x)=12

Range of f(x)[12,12]

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