If `tan^2x-5secx=1` is satisfied by exactly seven distinct values of `x in [0,((2n+1)pi)/2],n in N ,` then the greatest value of `n` is________.

If 2tan^(2)x-5sec x=1 for exactly seven distinct value of x in[0,(n pi)/(2)],n in N then find the greatest value of n.

If "sin"^(2) theta -2"sin" theta-1 = 0 is to be satisfied for exactly 4 distinct values of theta in [0, n pi], n in Z , then the least values of n, is

2 cot^2 x - 5 cos e c x is equal to 1 for exactly 6 distinct values of x ∈ [ 0 , n π ] then the greatest value of n is __________________

If tan^(2)theta-sec theta-5=0 for exactly 9 values of theta in[0,(n pi)/(2)];n in N, then the greatest value of n is

"If " 2"tan"^(2) theta - 5 "sec" theta = 1 has exactly 7 solution in the interval [0, n pi//2], n in N , then the least and greatest values of n are

If f(x)=sgn(sin^(2)x-sin x-1) has exactly four points of discontinuity for x in(0,n pi),n in N, then

The number of values of x in[0,n pi],n in Z that satisfy the equation log_(|sin x|)(1+cos x)=2 is

If f (tan x) = cos 2x , x != (2n + 1) pi/2, n in I then incorrect statement is

If the value of lim_(n to oo) (n^(-3//2)) . sum_(j=1)^(6n)sqrt(j) is equal to sqrt(N) , then the value of N is________.

If ((243)^((n)/(5))3^(2n+1))/(9^(n)3^(n-1))=x, then the value of x is