If x,y are actue angles , where 0 lt x +...

If x,y are actue angles , where `0 lt x + y lt 90^(@) and sin (3x-40^(@))= cos (3y+40^(@))`, then the value of tan (x+y) is equal to :

A

A)`(1)/(sqrt(2))`

B

B)`(1)/(sqrt(3))`

C

C)`sqrt(3)`

D

D)`(1)/(3)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If x , y are acute angles , 0ltx+ylt90^(@)and sin(2x-20^(@))=cos(2y+20^(@)) , then the value of tan (x+y) is :

If x,y are positive acute angles, x+ylt90^(@) and sin(2x-20^(@))=cos(2y+20^(@)) , then value of sec(x+y) is,

If sin(x+y)=cos[3(x+y)] , then the value of tan[2(x+y)] is.

If 0 lt x lt pi/2 and sec x = cosec y , then the value of sin (x + y) is

If sin 7x = cos 11x , 0^(@) lt x lt 90^(@) , then the value of tan 9x is:

If sin(x+y)=cos[3(x+y)] then what is the value of tan[2(x+y)]

If 3sin x+12sin y+4cos x+5cos y=18 then the value of tan(x+y) is

If 7 sin ^(2) x + 3 cos ^(2) x =4, 0 lt x lt 90^(@), then what is the value of tan x ?