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`

integrate wrt x pi/2(pi-2)

In Bohr's model of an atom, which of the following is an integral multiple of (h)/(2pi) ?

Integrate cos 2x sin 4x

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 y=sqrt((1-cos2x)/(1+cos2x),)x in (0,pi/2)uu(pi/2,pi), then find (dy)/(dx)dot

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

Evaluate the following integrals using properties of integration : int_(0)^(2pi) sin ^(4) x cos^(3) x dx

Evaluate the following integrals using properties of integration : int_(-(pi)/(4))^((pi)/(4))sin^(2)x dx

If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)z)^2=3/4pi^2 , find the value of x^2+y^2+z^2 .