" 3.If "sin x=(3)/(5),tan y=(1)/(2)" and "(pi)/(2)

If sin x=(3)/(5) and tan y=(1)/(2) and if (pi)/(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 cos x=(3)/(5) " and cos " y=(-24)/(25) " where " .(3pi)/(2) lt x lt 2 pi " and " pi lt y lt .(3pi)/(2) find the values of (i) " sin (x+y) "" ""(ii) cos (x-y) "" ""(iii) tan (x+y) "

If sin^(-1)x+tan^(-1)((1)/(2))=(pi)/(2) then x=

Prove that tan^(-1)((cosx)/(1+sin x)) =(pi)/(4)-(x)/(2), x in (-(pi)/(2), (pi)/(2)) .

If x=sin(2tan^(-1)2)and y=sin((1)/(2)tan^(-1).(4)/(3)) , then prove that y^2 = 1 - x

If x=sin(2tan^(-1)3)and y=sin((1)/(2)tan^(-1)(4/3)) , then

If x=sin(2tan^(-1)3)and y=sin((1)/(2)tan^(-1)(4/3)) , then

If sin ^ (2) x + sin ^ (2) y <1; x, y in R then prove that sin ^ (- 1) (tan x.tan y) in (- (pi) / (2), ( pi) / (2))