1+secA /sec A =sin^A/1-cos A
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take RHS
1+secA/secA
1+ 1/cosA /1/cosA (:. secA =1/cosA)
cosA+1/cosA/ 1/cosA
cosA and CosA will be cancelled because thet are in division
therefore by cancellit cosA the result will be cosA +1
Now take LHS
sin^A/1-cosA -------(1)
we know that sin^A +cos^A = 1
sin^A =1-cos^A ------(2)
put value of sin^A from equation 2 to equation 1
therefore 1-cos^A/1-cosA
if we give square to 1 nothing will be changed.so we give square to one
=> 1^ - cos^A/ 1-cosA
now by identity a^-b^ =( a+b)(a-b)
here a^-b^ is 1^ -cos^A
=> (1-cosA)(1+cosA)/(1-cosA)
1-cosA will be cancelled
=> 1+cosA
hence LHS=RHS
hence proved
hope done .......it take sooo much time to write please add this in brain list..
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