For the smallest positive values of x an...

For the smallest positive values of x and y, the eqation `2 (sin x + sin y) - 2 cos ( x - y) = 3` has a solution, then which of the following is/are true ?

A

`sin "" (x + y)/( 2) = 1`

B

`cos ((x - y)/( 2)) = (1)/(2)`

C

number of ordered pairs (x , y) is 2

D

number of ordered pairs (x , y) is 3

Verified by Experts

The correct Answer is:

A, B, C

Similar Questions

Explore conceptually related problems

The smallest positive real value of p for which the equation cos (p sin x) = sin (p cos x) has a solution where x in [0, 2pi] is

The smallest positive values of x and y which satisfy tan (x-y)=1, sec (x+y)=2//sqrt(3) are

The range of y such that the equation in x , y cos x = sin x has a real solution is

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

(cos x + cos y ) ^(2) + (sin x - sin y ) ^(2) = 4 cos ^(2) ""(x + y )/( 2)

The solution of (dy)/(dx) + x sin 2y = x^(3) cos^(2) y is

If y =a cos (sin x) + b sin (sin x) then y _(2) + (tan x) y_(1)=