If `sinx+siny=1/2` and `cosx+cosy=1`, then tan(x+y)=

A

1) `(-8)/3`

B

2) `8/3`

C

3) `4/3`

D

4) `-3/4`

Verified by Experts

Similar Questions

Explore conceptually related problems

If cosx=3cosy, then 2tan((y-x)/2)=

If sinx+cosx=1/5 , then tan 2x is

If 2sinx=1 , (pi/2) < x < pi and sqrt2 cosy=1, ((3pi)/2) < y < 2pi then find the value of (frac(tanx+tany)(cosx-cosy))

int e^x sin x(sinx + 2cosx)dx =

if y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)=

The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2, where x and y are real, is ________

If tanalpha=(1)/(2)and3cosx+4sinx=5 , then x is equal to

If x^2 + y^2 + z^2 = r^2 and x, y, z > 0 , then tan^-1((xy)/(zr))+tan^-1((yz)/(xr))+tan^-1((zx)/(yr)) is equal to

If 2 tan^-1(cosx) = tan^-1(2 cosecx) , then find the value of x

If y = (1+sinx)/cosx then, dy/dx =