If `x+y=pi/4a n dtanx+tany=1,t h e n(n in Z)` (a)`sinx=0a l w a y s` (b)when `x=npi+pi/4t h e ny=-npi` (c)when `x=npit h e ny=npi+(pi/4)` (d)when `x=npi+pi/4t h e ny=npi-(pi/4)`

If sinx+cosy=1 and cos2x-cos2y=1 then the values of x and y are (A) x=npi+(-1)^n pi/3, n in I, y=mpi+-pi/6, m in I (B) x=npi+(-1)^n pi/6, n in I, y=mpi+-pi/3, m in I (C) x=npi+(-1)^n pi/4, n in I, y=mpi+-pi/4, m in I (D) none of these

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)

f(x)=[(sinx)/x ,"w h e n"x!=0=2,"w h e n"x=0 sinx-, when x0/(x) =L= 2, when x=0

The general solution ofthe trigonometrical equation sinx+cosx=1 for n=0, +- 1, +-1 is given by (a) x=2npi (b) x=2npi+pi/2 (c) x=npi+(-1)^npi/4-pi/4 (d) non of these

Write the range of the function f(x)=sin[x],w h e r e(-pi)/4lt=xlt=pi/4 .

L=(lim)_(x->a)(|2sinx-1|)/(2sinx-1)dotT h e n limit does not exist when (a) a=pi/6 (b) L=-1 when a=pi (c) L=1 when a=pi/2 (d) L=1 when a=0

If int_0^oo(sinx)/xdx=pi/2,t h e nint_0^oo(sin^3x)/x dx is equal to (a)pi/2 (b) pi/4 (c) pi/6 (d) (3pi)/2

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)