Chapter 6: Q.94 (page 396)

Find the exact value of $\cos (1^{0}) + \cos (2^{o}) + \cos (3^{o}) + . . . . . + \cos (359^{o})$

Short Answer

Expert verified

The exact value of $\cos (1^{0}) + \cos (2^{o}) + \cos (3^{o}) + . . . . . + \cos (359^{o}) i s - 1$

Step by step solution

Step !: Given information

We are given a equation $\cos (1^{0}) + \cos (2^{o}) + \cos (3^{o}) + . . . . . + \cos (359^{o})$

Use the periodicity of the cosine function cos180-θ=-cosθcos360-θ=cosθ

We get

$\cos (1^{0}) + \cos (2^{o}) + \cos (3^{o}) + . . . + \cos (358^{o}) + \cos (359^{o}) + \cos (360^{o}) = 0 - 1 = - 1$

Conclusion

The value of $\cos (1^{0}) + \cos (2^{o}) + \cos (3^{o}) + . . . + \cos (360^{o}) i s - 1$

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Find the exact value of $\cos (1^{0}) + \cos (2^{o}) + \cos (3^{o}) + . . . . . + \cos (359^{o})$

Short Answer

Step by step solution

Step !: Given information

Use the periodicity of the cosine function cos180-θ=-cosθcos360-θ=cosθ

Conclusion

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Find the exact value ofcos10+cos2o+cos3o+.....+cos359o

Short Answer

Step by step solution

Step !: Given information

Use the periodicity of the cosine function cos180-θ=-cosθcos360-θ=cosθ

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Find the exact value of $\cos (1^{0}) + \cos (2^{o}) + \cos (3^{o}) + . . . . . + \cos (359^{o})$