If `(cos^2x+1/(cos^2x))` `(1+tan^2 2y)(3+sin3z)=4,` then `x` is an integral multiple of `pi` `x` cannot be an even multiple of `pi` `z` is an integral multiple of `pi` `y` is an integral multiple of `pi/2`

The function f(x) = sin x-x cos x is: (A).maximum or minimum for all integral multiple of pi (B) maximum if x is an odd positive or even negative integral multiple of pi (C) minimum if x is an even positive or odd negative integral multiple of pi (D) None of these

If log_(1/sqrt2) sinx> 0 ,x in [0,4pi] , then the number values of x which are integral multiples of pi/4 ,is

f(x)=(cosx)/([(2x)/pi]+1/2), where x is not an integral multiple of pi and [dot] denotes the greatest integer function, is an odd function an even function neither odd nor even none of these

f(x)=(cosx)/([(2x)/pi]+1/2), where x is not an integral multiple of pi and [dot] denotes the greatest integer function, is an odd function an even function neither odd nor even none of these

If dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3,pi/3)and y(pi/4)=4/3," then "y(-pi/4) equals

f(x)= cosx/([2x/pi]+1/2) where x is not an integral multiple of pi and [ . ] denotes the greatest integer function, is (a)an odd function (b)an even function (c)neither odd nor even (d)none of these

If F(x)=[(cos^(2)x,cosxsinx),(cosxsinx,sin^(2)x)] and the difference of x and y is the odd Multiple of (pi)/(2), then F(x)F(y) is :

If cos(x+pi/3)+cos x=a has real solutions, then number of integral values of a are 3 sum of number of integral values of a is 0 when a=1 , number of solutions for x in [0,2pi] are 3 when a=1, number of solutions for x in [0,2pi] are 2

If cos(x+pi/3)+cos x=a has real solutions, then (a) number of integral values of a are 3 (b) sum of number of integral values of a is 0 (c) when a=1 , number of solutions for x in [0,2pi] are 3 (d) when a=1, number of solutions for x in [0,2pi] are 2

If cos^2 2x+2cos^2x=1,\ x in (-pi,pi), then x can take the values : +-pi/2 (b) +-pi/4 +-(3pi)/4 (d) none of these