" (ii) "tan{(n pi)/(2)+(-1)^(n)(pi)/(4)}=1

[" If "sin x sin(60^(@)+x)sin(60^(@)-x)=(1)/(8)" then "],[x" equals "],[n pi+(-1)^(n)(pi)/(6)],[n(pi)/(3)+(-1)^(n)(pi)/(18)],[n pi+(-1)^(n)(pi)/(3)],[(n pi)/(-1)+(-1)^(n)(pi)/(4)]

If f (x) = min_ (n pi) {tan x, cot x} that f (x) = 1 when x = (i) (n pi)/(2)+(pi)/(4) (ii) (n pi)+(pi)/(6) (iii) (n pi)+(pi)/(4) (iv) (2n pi)+(pi)/(4)

For n in Z, the general solution of (sqrt(3)-1)sin theta+(sqrt(3)+1)cos theta=2is(n in Z)theta=2n pi+-(pi)/(4)+(pi)/(12)theta=n pi+(-1)^(n)(pi)/(4)+(pi)/(12)theta=2n pi+-(pi)/(4)theta=n pi+(-1)^(n)(pi)/(4)-(pi)/(12)

The most general value for which tan theta=-1cos theta=(1)/(sqrt(2)) is (n in Z)n pi+(7 pi)/(4) (b) n pi+(-1)^(n)(7 pi)/(4)2n pi+(7 pi)/(4) (d) none of these

If (1)/(6)sin theta,cos theta and tan theta are in GP,then the general value of theta is (i) 2n pi+-(pi)/(3)( ii) 2n pi+-(pi)/(6) (iii) 2n pi+-(-1)^(n)(pi)/(3)( iv )n pi+-(pi)/(3)

Evaluate the limit . lim_(n to oo) (1)/(n) [tan (pi)/(4n) + tan (2pi)/(4n) +………..tan (npi)/(4n)]

A general solution of tan^(2)theta+cos2 theta=1 is (n in Z)n pi=(pi)/(4) (b) 2n pi+(pi)/(4)n pi+(pi)/(4) (d) n pi

If tan A = 1, tan B = 2, tan C = 3, then A+B+C = (i) (n pi)/(2); n in Z (ii) (n pi); n in Z ( iii) (n pi)/(4); n in Z (iv) (2n pi)/(3); n in Z

sum_(r=1)^(n)sin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1)))) is equal to tan^(-1)(sqrt(n))-(pi)/(4)tan^(-1)(sqrt(n+1))-(pi)/(4)tan^(-1)(sqrt(n))(d)tan^(-1)(sqrt(n)+1)