Question

all trigonometric values of sin2x

Answer 1

BY USING TRIGONOMETRIC RATIOS
for x=0
sin2x=0
for x=30°
sin2x=1
for x=45°
sin2x= 2√2/2
forx=60°
sin2x=√3
forx=90°
sin2x=2

Answer 2

sin(2x)=sin(x+x)
=sin(x)cos(x)+cos(x)sin(x), use formula sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
=2sin(x)cos(x)