If `tan x =(3)/(4) and pi lt xlt (3pi )/( 2)` find the values of `sin 2x and cos 2x `

If tan x = (3)/(4), pi lt x lt (3pi)/(2) , then the value of cos""(x)/(2) is

If tanx=3/4, pi lt x lt (3 pi)/(2) , then the value of cos. x/2 is

If 0 lt x lt (pi)/(4) then sec 2 x-tan 2 x=

If sin A=(3)/(5), tan B=(1)/(2) and (pi)/(2) lt A lt pi and pi lt B lt 3(pi)/(2), then 8 tan A+sqrt(5) sec B=

Find the solution of the equation ( sin x + cos x ) sin 2 x =a(sin^(3) x + cos^(3) x) located between (pi)/(2) and pi and for which values of 'a' does this equation have at most one solution satisfying the condition (pi)/(2) le x le pi .

If 2 cos x lt sqrt(3) and x in [-pi, pi] , then find the solution set for x .

If x+y=(4pi)/(3) and sin x = 2 sin y , then

solve tan 2x =-cot (x+ ( pi )/(3) )