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Chapter 6: Q.90 (page 396)

ifcos胃=0.2, then find the value ofcos胃+cos胃+2蟺+cos胃+4蟺

Short Answer

Expert verified

The exact value ofcos胃+cos胃+2蟺+cos胃+4蟺is0.6

Step by step solution

01

Given information

We are given thatcos胃=0.2

02

Use periodicity of trigonometric function cosθ+2π=cosθ

We get,

cos胃+cos胃+2蟺+cos胃+4蟺cos胃+cos胃+cos胃+2蟺cos胃+cos胃+cos胃3cos胃=3(0.2)=0.6

03

Conclusion

The value ofcos胃+cos胃+2蟺+cos胃+4蟺is0.6

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