Answer:
Step-by-step explanation:
when x=0,sin x=0
when x=30° or π/6
sinx=1/2=0.5
when x=45° or π/4
sin x=√2/2≈1.414/2≈0.707
when x=60° or π/3
sinx=√3/2≈1.732/2≈0.866
when x=90° or π/2
sin x=1
when x=120° 2π/3
sin 120=sin (180-60)=sin 60 ≈0.866
when x=135° or 3π/4
sin 135=sin (180-45)=sin 45≈0.707
when x=150° or 5π/6
sin 150=sin (180-30)=sin 30=0.5
when x=180 or π
sin 180=sin(180-0)=sin 0=0
when x=210° or 7π/6
sin 210=sin (180+30)=-sin 30=-0.5
when x=225° or 5π/4
sin x=sin (180+45)=-sin 45≈-0.707
when x=240° or 4π/3
sin 240=sin (180+60)=-sin 60≈ -0.866
when x=270° or 3π/2
sin 270=sin (180+90)=-sin 90=-1
when x=300° or 5π/3
sin 300=sin(360-60)=-sin 60≈ -0.866
when x=315°or 7π/4
sin 315=sin (360-45)= -sin 45≈ -0.707
when x=330° or 13π/6
sin 330=sin (360-30)= -sin 30 =-0.5
when x=360 or 2π
sin (360)=sin (360+0)=sin 0=0
plot all these points on the graph,you get the reqd. graph.
you see it starts on (0,0)
