whats the big doubt,
cot/tan+1= 1+1= 2
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Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.
Since CotΘ = 1 / tanΘ, then tanΘ / cotΘ = tanΘ / (1/tanΘ) = tanΘ x tanΘ = tan²Θ
For a start, try converting everything to sines and cosines.
cot theta=tan(90-tetha)
The Answer is 1 coz, 1-Tan squarex = Cot square X. So cot square x divided cot square x is equal to 1