If sin x+sin y=3(cos y-cos x) then `(sin2020x)/(sin2020y)`

If sin x+sin y=sqrt(3)(cos y-cos x) then (sin3x)/(sin3y)=

If sin x+sin y=sqrt(3)(cos y-cos x), then sin3x+sin3y=(a)2sin3x( b) 0(c)1(d) none of these

If sin x + sin y = sqrt (3) (cos y-cos x), then sin3x + sin3y =

If sin x+sin y=3(cos y-cos x) then the value of sin 3 x+sin 3 y=

If cos x-cos y=0=sin x+sin y then sin(2020x)+sin(2020y) is equal to

" If "sin x+sin y+sin z+sin w=4," then "sin^(2019)x+sin^(2020)y+cos^(2021)z+cos^(2020)w

Prove that (i) 2 cos x cos y=cos (x+y)+cos (x-y) (ii) -2 . sin x sin y=cos (x+y)-cos (x-y) (iii) 2 sin x cos y=sin (x+y)+sin (x-y) (iv) 2 cos x sin y=sin (x+y)-sin (x-y)

If sin x+sin y>=cos a cos x AA in R, then sin y+cos a is equal to