Chapter 6: Q.93 (page 396)

Find the exact value of $\sin (1^{o}) + \sin (2^{o}) + \sin (3^{o}) + . . . . + \sin (360^{o})$

Short Answer

Expert verified

The exact value of $\sin (1^{o}) + \sin (2^{o}) + . . . . + \sin (360^{o})$ is $0$

Step by step solution

given information

We are given $\sin (1^{o}) + \sin (2^{o}) + . . . . + \sin (360^{o})$

Use periodicity propertysinθ=sinθ-2π

We get

$\sin (1^{o}) + \sin (2^{o}) + . . . . + \sin (360^{o}) \sin (- 359^{o}) + \sin (- 358^{o}) + . . . . + \sin (360^{o}) - \sin (359^{o}) - \sin (358^{o}) - . . . . + \sin (360^{o}) = 0$

Conclusion

The exact value of $\sin (1^{o}) + \sin (2^{o}) + . . . . + \sin (360^{o}) i s 0 .$

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Find the exact value of $\sin (1^{o}) + \sin (2^{o}) + \sin (3^{o}) + . . . . + \sin (360^{o})$

Short Answer

Step by step solution

given information

Use periodicity propertysinθ=sinθ-2π

Conclusion

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Find the exact value ofsin1o+sin2o+sin3o+....+sin360o

Short Answer

Step by step solution

given information

Use periodicity propertysinθ=sinθ-2π

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Discrete Mathematics

Mechanics Maths

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the exact value of $\sin (1^{o}) + \sin (2^{o}) + \sin (3^{o}) + . . . . + \sin (360^{o})$