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For a fast solution, you can use
http://www.quickmath.com/webMathematica3/quickmath/page.jsp?s1=equations&s2=solve&s3=basic
Type
4*(cos(x)^3+sin(x)^3)=cos(x)+4*sin(x)
And you got it!
Jose
Make everything as simple as possible, but not simpler. -- Albert Einstein
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