Question

If tan 2A=cot(A+60°),find the value of A,where 2A is an acute angle

Answer 1

cot ( 90 degree - 2a) -- cot ( a plus 60 degree ) then, 90 - 60 -- a plus 2a so, 30 -- 3a then, a -- 10

Answer 2

tan 2A = cot ( A + 60° ) 
cot ( 90° - 2A ) = cot ( A + 60° ) 

Using trigonometric identity 

tan theta = cot ( 90° - theta ) 
On comparing 
90° - 2A = A + 60° 
A+ 2A = 90° - 60° 
3A = 30° 
A = 10°

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