Question

Sin10°+sin20°+sin30°.........+sin360°=

Answer 1

welcome to the concept of Trigonometry .

sin10° + sin 20° + sin 30 ° ......+ sin360°

= sin(360-350) + sin(360-340) + ..... sin (360-190) +sin180 + sin190 +... sin350+sin360

= -sin350-sin340-....-sin190+sin180+sin190+...+ sin350 +sin360

= 0

⏩yr answer is 0

▌│█║▌║▌║[ I hope it help you ❤️ ]║▌║▌║█│▌

Answer 2

Step-by-step explanation:

sin10°+sin20°+sin30°+..... sin180°+....... sin 330°+sin340° +sin350°+sin360°

= sin10°+ sin20° +sin30°+....... sin(2•90+0)+..... sin(3•90+60°)+sin(3•90+70)s+sin(3•90+80)+sin(4•90+0)

=sin10°+sin20°+sin30°+...-sin0°+...-cos60°-cos70°-cos80°+sin0°

=sin10°-cos80°+sin20°-cos70°+sin30°-cos60°

=sin10°-cos(90-10)+sin20°-cos(90-20)+sin30°-cos(90-30)

=sin10°-sin10°+sin20°-sin20°+sin30°-sin30°

=0

HERE'S YOUR ANSWER