If solution set of the equation `sin5theta = 1/sqrt2` is `{(8m + k)pi/20}` where `m in l`, then k can be `(k in I^+)`

If (1,0) is a solution of the equation 8x+5k=18 , then k=……

If the sum of all the solutions of the equation 3 cot^(2) theta + 10 cot theta + 3 = 0 in [ 0, 2 pi ] is k pi where k in I , then find the value of k .

If the sum of all the solutions of the equation 3 cot^(2) theta + 10 cot theta + 3 = 0 in [ 0, 2 pi ] is k pi where k in I , then find the value of k .

If the sum of solution of the equation 2^(sin^2 x) + 5. 2^(cos^2 x) = 7 where x in (0,2pi) is equal to kpi (k in I), then the value of tan^-1(k – 1) + tan^-1(k)+tan^-1(k+ 1) is equal to

If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k , then the value of k is

The solution of the equation 1!+2!+3!+…+x!=k^(2) where k in l are