Answer:
tanx = 2
Explanation:
Given (1 + tanx) / (1 + cotx) = 2
Using the formula:- cotx = 1 / tanx.
Change cotx into tanx in the equation:-
(1 + tanx) / (1 + 1/tanx) = 2
(1 + tanx) / {(tanx + 1) / tanx} = 2
Keep Numerator as it is, Change division to multiplication, Flip denominator:-
{ (1 + tanx)/1 } * { tanx/(tanx + 1) } = 2
tanx * (1 + tanx) / (tanx + 1) = 2
tanx = 2
Hence, the answer is tanx = 2.