SOLUTION: Solve the equation cos⁡θ − 5cos⁡^3θ = 0 for all positive values of θ less than 360∘ . Give the answers to three significant digits in the

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Question 1068408: Solve the equation cos⁡θ − 5cos⁡^3θ = 0 for all positive values of θ less than 360∘ . Give the answers to three significant digits in the order of increasing.
Answer by ikleyn(52864)   (Show Source): You can put this solution on YOUR website!
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Solve the equation cos⁡θ − 5cos⁡^3θ = 0 for all positive values of θ less than 360∘ . Give the answers to three significant digits in the order of increasing.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

 = 0  --->  


 = 0 --->


This equation deploys in two independent equations 


1)   = 0  --->   = 90°  or   = 270°.


2)   = 0  --->   = +/- = +/- 0.447.

    The solutions are  =  = 63.48°,  180°-63.48° = 116.12°, 180°+63.48° = 243.48°  and  116.12° + 180° = 296.12°.

Answer.  The solutions are   = 90°,  270°,  63.48°,  116.12°,  243.48°  and  296.12°.



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