if cos ` x= (-sqrt(15))/(4) " and " (pi)/(2) lt x lt pi` find the value of sin x .

If tan x=(-5)/(12) " and " (pi)/(2) lt x lt pi find the value of cos 2x

If sin x=(sqrt(5))/(3) "and " .(pi)/(3) lt x lt pi find the values of (i) " sin " (x)/(2) " " (ii) " cos " (x)/(2) " " (iii) " tan " (x)/(2)

If sec x =- (13)/(12) and (pi)/(2) lt x lt pi , find the value of sin 2x

If cos x=(-3)/(5) " and " .(pi)/(2) lt x lt pi find the values of (i) " sin .(x)/(2) " " (ii) " cos " (x)/(2) " " (iii) " tan " (x)/(2)

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

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

If cos x=-(sqrt(15))/(4) and (pi)/(2)

If sin x=(sqrt(5))/(3) " and " 0 lt x lt .(pi)/(2) find the values of (i) " sin " 2x " ""(ii) cos 2x "" ""(iii) tan 2x "

If sin x = (15)/(17) and cos y = (12)/(13),0 lt x lt (pi)/(2) , 0 lt y lt (pi)/(2) , find the values of sin (x + y)

If " sin " x =- (1)/(2) " and " pi lt x lt .(3pi)/(2) find the value of (i) " sin "2x , (ii) " cos " 2x (iii) " tan " 2x