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Question

Assertion :Let f:[8π,9π][1,1],f(x)=cosx, then
Statement-1 : f1(1)=9π because Reason: Statement-2 : f1(x)=10πcos1xx[1,1]

A
Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1
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B
Statement-1 is true, Statement-2 is true and Statement-2 is NOT correct explanation for Statement-1
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C
Statement-1 is true, Statement-2 is false
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D
Statement-1 is false, Statement-2 is true
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Solution

The correct option is C Statement-1 is true, Statement-2 is false
f(x)=cos(x).
f1(1)=9π
cos(π)=cos(9π)
domain of cos1x is [-1,1]
range of cos1xis[0,π]
in the question given the domain specified is [9π,10π]
always the inverse function value should be in the given range.
statement 1 is true.
statement 2 is false.
f1(x)=8π+cos1x

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