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Answer 1 · 2017-09-26T15:14:20

1

tan(90-45)=tan45.

#tan theta=(sin theta)/(cos theta)#

#tan 45 =(sin 45)/cos 45#

#sin 45=cos 45=1/sqrt2#

Therefore

#tan 45=(1/sqrt2)/(1/sqrt(2))#

#tan(90-45)=tan 45=1#