[" if "cos x=(2cos y-1)/(2-cos y)," where "x,y in(0,pi)" then "],[tan((x)/(2))*cot((y)/(2))=]

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 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

cos ^(-1) ""((cos x + cos y)/(1+cos x cos y))= 2 tan ^(-1) (tan ""(x)/(2) tan ""(y)/(2))

Prove that cos ^ (- 1) ((cos x + cos y) / (1 + cos x cos y)) = 2tan ^ (- 1) (tan ((x) / (2)) tan ((y) / (2)))

If (cos x)/(cos y)=2 and cos(x-y) = sqrt(3)/2 , then tan y=

cos x + cos y = (4) / (5), cos x-cos y = (2) / (7) rArr14tan ((xy) / (2)) + 5cot ((x + y) / (2)) =

cos x + cos y = (4) / (5), cos x-cos y = (2) / (7) rArr14tan ((xy) / (2)) + cot ((x + y) / (2)) =