If `ta n x = 3/4 , pi < x < 3 pi / 2` find the value of `si n x/2,co s x/2` and `t a n x/2`

If tan x=3cot x, then the general value of x is a.n pi+(pi)/(6),n in I b.n pi+(pi)/(3),n in I c.n pi+-(pi)/(6),n in I d.n pi+-(pi)/(3),n in I

sin^(2) x+2sin x cos x-3cos^(2) x = 0 if (i) tan x = 3 (ii) tan x = -1 (iii) x = n pi+(pi)/(4) , n in I (iv) x = n pi+tan^(-1) (3), n in I

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)

If A=[1ta n x-t a n x1],t h e n detA^T A^(-1) is

If 4cos x sin x*2sin x = 3sin x, then x = (i) n pi+(-1)^(n) (pi)/(10) (ii) n pi-(-1)^(n) ( pi)/(10) (iii) 2n pi+-(pi)/(10) (iv) n pi+(pi)/(10)

If sin2x + sin x = 0, then x is (A) n pi + (pi) / (3), 2n pi + (pi) / (6) (B) n pi, n pi + (- 1) ^ (n) ( pi) / (3) (C) n pi, 2n pi + 2 (pi) / (3), 2n pi-2 (pi) / (3) (D) 2n pi, n pi + 2 (pi) / ( 3)

I : The solution of 7 sin^(2)x + 3 cos^(2)x=4 is {n pi pm pi//6 : n in Z} II : The solution of tan^(2)theta = 3 is {n pi pm pi//3 : n in Z}

x + y = (4n + 3) (pi) / (4), n in Z rArr ((1 + tan x) (1 + tan y)) / (tan x tan y) =

If 4sin^(4)x+cos^(4)x=1, then x is equal to (n in Z)( a)n pi( b ) pi pi+-sin^(-1)sqrt((2)/(5))(c)(2n pi)/(3) (d) 2n pi+-(pi)/(4)