Find `cos((x)/(2))` and `tan((x)/(2))`, if `tanx=(3)/(4), piltxlt(3 pi)/(2)`

solve: tan^(-1) ((cos x)/(1-sin x)) = ((pi)/(4)+(x)/(2)) , (-3 pi)/(2)ltxlt(pi)/(2)

Find the general solution of each of the following equations : (i) sin3x=0 (ii) "sin"(3x)/(2)=0 (iii) (x+(pi)/(5))=0 (iv) cos2x=0 (v) "cos"(5x)/(2)=0 (vi) cos(x+(pi)/(10))=0 (vii) tan2x=0 (viii) tan(3x+(pi)/(6))=0 (ix) tan(2x-(pi)/(4))=0

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 tan x=(4)/(3) and pi

If tanx+tan((pi)/(3)-x)+tan((2pi)/(3)+x)=3 , then

The expression (tan(x-(pi)/(2))cos((3 pi)/(2)+x)-sin^(3)((7 pi)/(2)-x))/(cos(x-(pi)/(2))tan((3 pi)/(2)+x)) is equal to

The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x))/(cos(x-(pi)/(2)).tan((3pi)/(2)+x)) simplifies to

If tan x=(3)/(4) " and " pi lt x lt .(3pi)/(2) find the value of (i) sin.(x)/(2) , (ii) cos .(x)/(2) , (iii) tan .(x)/(2)

If tan x=(3)/(4) and pi

If cos x=-(1)/(3),pi