[" I of "sin(e^(tan x)+e^(cot x))" is "],[" b) "pi]

Period of sin(e^( tan x) + e^( cot x) ) is

int e^(x)(cot x+log sin x)dx

Fundamental period of the function f(x)=e^(|tan x|)+e^(2|cot x|) is

Period of f(x)=sin^(-1)(sin x)+e^(tan x) is

Number of solutions to the equation |2e^(sin x) - 3 - e^(2 sin x)|= | e^(sin x) - e^(2 sinx) - 1| i n [0, 2 pi] is

If sin^(2) x tan x + cos ^(2) x cot x - sin 2 x = 1 + tan x + cot x x in (0, pi) then x =

int e^(x)(log sin x+cot x)dx

For x!=n(pi)/(2) function f(x)= where n e I,the range of sgn(sin x)+sgn(cos x)+sgn(tan x)+sgn(cot x) is equal to

Match the following : {:("Column-I" , " Column - II"), ("(A)" lim_(x to pi/4)(sin2x)^(tan^(2)2x), "(p)" 1/2),("(B)" lim_(x to oo) ((2x-1)/(2x+1))^(x) , "(q)"e^(-1/2)),("(C)" lim_(x to pi/2)(tanx)^(tan 2x) , "(r)" e^(-1)),("(D)" lim_(x to pi/4) tan2x tan(pi/4-x), "(s)" 1):}

Match the following : {:("Column-I" , " Column - II"), ("(A)" lim_(x to pi/4)(sin2x)^(tan^(2)2x), "(p)" 1/2),("(B)" lim_(x to oo) ((2x-1)/(2x+1))^(x) , "(q)"e^(-1/2)),("(C)" lim_(x to pi/2)(tanx)^(tan 2x) , "(r)" e^(-1)),("(D)" lim_(x to pi/4) tan2x tan(pi/4-x), "(s)" 1):}