Let us consider the equation `cos^4x/a+sin^4x/b=1/(a+b),x in[0,pi/2],a,bgt0`
the value of `sin^8x/b^3+cos^8x/a^3` is

Let us consider the equation cos^4x/a+sin^4x/b=1/(a+b),x in[0,pi/2],a,bgt0 The value of sin^2x in terms of a and b is

Number of roots of the equation (3+cos"x")^2=4-2sin^8x ,x in [0,5pi]a r e _________

Solve the equation sin^4x+cos^4x-2sin^2x+(3sin^2 2x)/4=0

Solve the equation sin^3x.cos3x+cos^3x.sin3x+3/8=0

If sinx+sin^2x=1 n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 is equal to

If sin x + sin ^(2) x=1 then the value of (cos ^(8) x+2 cos ^(6)x +cos ^(4) x) is-

The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for

The equation cos^8x+bcos^4x+1=0 will have a solution if b belongs to

Column I Column II The value of ((4+sec20^0)/(cosec20^0))^2 , is p. 1 The minimum value of (1+cos2x+8sin^2x)/(2sin2x),x(0,pi/2) is q. 2 The value of (8sin40^0dotsin50^0dottan10^0)/(cos80^0) r. 3 If (cos5A)/(cosA)+(sin5A)/(sinA)=a+bcos4A , then (a^2)/b is s. 4

Show that 3(sin^4x+cos^4x)-2(sin^6x+cos^6x)=1 .