Prove that:-
1+tanA/sinA + 1+cotA/cosA = 2(secA + cosecA)
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we know that
tanA = sinA/cosA and cotA = cosA/sinA
now
1+sina/cosa/sina + 1 + cosa / sina / cosa
cosa + sina / cosa / sina + sina+cosa/sina/cosa
cosa+sina/cosa*sina + sina+cosa / cosa sina
cosa +sina + cosa + sina / cosa *sina
2cosa + 2 sina / cosa* sina
2cosa/cosa*sina +2sina /cosa*sina
2/sina + 2/cosa
we know that 1/sina= coseca , 1/cosa = seca
2coseca + 2seca
2 (coseca + seca)
hence proved
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