[" 16.If "x" and "y" are acute angles such that "cos x=(13)/(14)" and "cos y=(1)/(7)" ,prove that "],[qquad (x-y)=-(pi)/(2)]

If x and y are acute angles such that cos x=(13)/(14) and cosy =(1)/(7), prove that (x-y)=(pi)/(3)

If x and y are acute angles and cosx=(13)/(14)andcosy=(1)/(7) then prove that x-y=-(pi)/(3) .

If x and y are acute angles such that sin x=(1)/(sqrt(5)) and sin y=(1)/(sqrt(10)) prove that x+y=(pi)/(4)

if x and y are acute angles such that cos x+cos y=(3)/(2) and sin x+sin y=(3)/(4) then sin(x+y)=

If x and y are acute angle such that cosx+"cos" y=(3)/(2) and sin x+"sin" y=(3)/(4) then sin (x+y)=

If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + sin y=(3)/4 " then " sin(x+y)=

If x and y are positive acute angles such that sin(4x - y) = 1 and cos(2x + y) = 1/2, then what is the value of cot (x + 2y)?

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