The value of cosh-1secx is
log1+sinxcosx
log1-sinxcosx
log1+cosxsinx
log1-cosxsinx
Explanation for correct option
Given hyperbolic function is cosh-1secx
cosh-1secx=logsecx+sec2x-1∵cosh-1x=logx+x2-1=logsecx+tanx∵sec2x-tan2x=1=log1+sinxcosx
Hence, the correct option is optionA