If SinA+ CosA = √95 CosA, the value of CotA is :
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1st thing to be notice is that between sin A and CosA there is +ve sign and same case with TanA and cot A
or,
sin A+CosA=√2,--(1).
to find -->tan A+cot A=?
dividing (1).by cos A we get
tan A+1=√2,
tan A=√2-1 --(2).
now dividing (1) by sin A we get,
1+cot A=√2,
CotA=√2-1--(2).
from (1) and (2)
tan A=cot A=√2-1={A=45degree },
or, TanA+CotA=tan45+cot45=1+1=2
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