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What is the value of sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360°?
  • a)
    -1
  • b)
    0
  • c)
    1
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
What is the value of sin 0° + sin 10° + sin 20° + sin 30&d...
Formula used:
sin(360° - θ) = - sin θ
Calculation:
sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360°
⇒ sin 0° + sin 10° + ....+ sin 180° + sin (360 - 170°) +  sin (360 - 160°) + .....+ sin (360 - 10°) + sin (360 - 0°)  
By using the  above formula
⇒ sin 0° + sin 10° + ......- sin 10° - sin 0° = 0
∴ sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360° = 0
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Most Upvoted Answer
What is the value of sin 0° + sin 10° + sin 20° + sin 30&d...
Formula used:
sin(360° - θ) = - sin θ
Calculation:
sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360°
⇒ sin 0° + sin 10° + ....+ sin 180° + sin (360 - 170°) +  sin (360 - 160°) + .....+ sin (360 - 10°) + sin (360 - 0°)  
By using the  above formula
⇒ sin 0° + sin 10° + ......- sin 10° - sin 0° = 0
∴ sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360° = 0
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Community Answer
What is the value of sin 0° + sin 10° + sin 20° + sin 30&d...
Formula used:
sin(360° - θ) = - sin θ
Calculation:
sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360°
⇒ sin 0° + sin 10° + ....+ sin 180° + sin (360 - 170°) +  sin (360 - 160°) + .....+ sin (360 - 10°) + sin (360 - 0°)  
By using the  above formula
⇒ sin 0° + sin 10° + ......- sin 10° - sin 0° = 0
∴ sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360° = 0
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What is the value of sin 0° + sin 10° + sin 20° + sin 30° + + sin 360°?a)-1b)0c)1d)2Correct answer is option 'B'. Can you explain this answer?
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What is the value of sin 0° + sin 10° + sin 20° + sin 30° + + sin 360°?a)-1b)0c)1d)2Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What is the value of sin 0° + sin 10° + sin 20° + sin 30° + + sin 360°?a)-1b)0c)1d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of sin 0° + sin 10° + sin 20° + sin 30° + + sin 360°?a)-1b)0c)1d)2Correct answer is option 'B'. Can you explain this answer?.
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