If sin x 35 x in quadrant III then sin 2x cos 2x tan 2x

If sin x = -3/5, x in quadrant III, then sin 2x = cos 2x = tan 2x =

sinx=-3/5

in third quadrant cos xis negative

cos x= adjacent/hypotenuse

here opposite=3 and hypotenuse=5

adjacent=4

cos x= -4/5

sin 2x=2sinx cos x=2(-3/5)(-4/5)= 24/25

cos 2x=2cos²x-1 = 2(-4/5)²-1= 7/25

tan 2x=sin2x/cos 2x= 24/7