Question

Sin10┬░+sin20┬░+sin30┬░.........+sin360┬░=

Answer 1

Answer:

sin10+sin20+.............+sin360=0

Step-by-step explanation:

Formula used:

sin(90+A) = cosA

sin(180+A)= -sinA

sin(270+A)= -cosA

Now,

sin10+sin20+...................sin80+sin90+sin100+.................+sin170+sin180+sin190+.............+sin260+sin270+sin280+................+sin350+sin360

=(sin10+sin20+...................sin80)+1+(sin100+sin110.................+sin170)+0+(sin190+sin200+.....+sin260)+(-1)+(sin280+................+sin350)+0

=(sin10+sin20+...................sin80)+(cos10+cos20+.................+cos80)+(-sin10-sin20-.....-sin80)+(-cos10-cos20................-cos80)

=0