Gate Exam

if x,y,z are acute and cos x= tan y , cos y = tanz , cos z = tan x, then the value of sin x is ;

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Gate Other Question

What is the range of the function y = (e^-x)/ (1+[x]) is ? Let a number n have its base -7 representation as n= 1223334444. the highest power of 7, that divides the number n! is