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Question

If f(x)=(sin1x)2+(cos1x)2, then

A
f(x) has the least value of π28
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B
f(x) has the greatest value of 5π28
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C
f(x) has the least value of π216
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D
f(x) has the greatest value of 5π24
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Solution

The correct options are
A f(x) has the least value of π28
D f(x) has the greatest value of 5π24
The least value for the above function occurs at x=12

=π216+π216
=π28 ...(i)
The greatest value for the above function occurs at x=1

=π24+π2
=5π24 ...(ii)

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