11even i first thought that is the ans but that is not.
10 Answers
62cos(tan x + cot x)cos(tan x - cot x) = 1/2{cos (2tan x) + cos (2 cot x)}
Now solve it?
4Period = LCM of pi & pi i.e. π/2
Sorry what I typed first was wrong This is my final ans
1how com pi/2 if -pi/2 satisfies ? u cn check it out too.
cos ( cot ( x - pi/2 ) + tan ( x - pi/2 ) ) cos ( tan ( x - pi/2 ) - cot ( x - pi/2 ) )
= cos ( -tanx - cotx ) cos ( -cotx + tanx )
=cos(tan x + cot x)cos(tan x - cot x)
4cos (cot (x+pi/2) + tan(x+pi/2) ) cos ( tan(x+pi/2) - cot(x+pi/2) )
= cos ( - cot x - tanx ) cos ( cot x - tanx )
= cos (cotx + tanx) cos(tanx - cotx)
Period of a function is the smallest +ve real no.
Hence the ans is pi/2
1uttara, i too know, pi/2 satisfies , but what if -pi/2 too satisfies !
