document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #683650 by ikleyn(52879)\"\" \"About 
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\n" ); document.write( "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.
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document.write( "\"cos%28theta%29+-+5%2Acos%5E3%28theta%29\" = 0  --->  \r\n" );
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document.write( "\"cos%28theta%29%2A%281-5%2Acos%5E2%28theta%29%29\" = 0 --->\r\n" );
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document.write( "This equation deploys in two independent equations \r\n" );
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document.write( "1)  \"cos%28theta%29\" = 0  --->  \"theta\" = 90°  or  \"theta\" = 270°.\r\n" );
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document.write( "2)  \"1-5%2Acos%5E2%28theta%29\" = 0  --->  \"cos%28theta%29\" = +/-\"1%2Fsqrt%285%29\" = +/- 0.447.\r\n" );
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document.write( "    The solutions are \"theta\" = \"acrcos%280.447%29\" = 63.48°,  180°-63.48° = 116.12°, 180°+63.48° = 243.48°  and  116.12° + 180° = 296.12°.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer.  The solutions are  \"theta\" = 90°,  270°,  63.48°,  116.12°,  243.48°  and  296.12°.\r
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