[" If "4sin x*cos y+2sin x+2cos y+1=0" where "x,y in[0,2 pi]" find the largest possible value "],[" of the sum "(x+y).]

Find (dy)/(dx) for y=sin^(-1)(cos x), where x in(0,2 pi)

Given 2sin x+3cos y=3,3sin y+2cos x=4;(x,y in(0,(pi)/(2))) then

If sin^4x + cos^4y + 2 = 4 sin x.cos y and 0 le x, y le pi/2 then sin x + cos y is equal to

If (sin x)/(sin y)=1/2, (cos x)/(cos y)=3/2 = 3/2 , where x, y in (0,pi/4) , then the value of tan(x+y) is equal to:

If (sin x)/(sin y)=(1)/(2), (cos x)/(cos y)=(3)/(2) , where x,y in (0,(pi)/(4)) , then the value of tan (x + y) is equal to

For a in R,cos alpha cos x+sin y>=sin xAA x in R then find the sum of the possible value(s) of sin alpha+sin y

If (sin x)/(sin y)=(1)/(2),(cos x)/(cos y)=(3)/(2), where x,y in(0,(pi)/(2)), then the value of tan(x+y) is equal to

If sin^(4)x+cos^(4)y+2=4sin x cos y then the value of sin x+cos y is equal to

If 2^(sin x+cos y)=1 and 16^(sin^(2)x+cos^(2)y)=4 , then find the value of sin x and cos y