Question about SoftMath Algebrator - Algebra Homework Solver (689076614429)
Posted by Anonymous on
Use the identity cos(2x)=2(cos(x))^2-1
cos(2x)+3=5cos(x) becomes 2(cos(x))^2-1+3=5cos(x)
Arrange a bit: 2(cos(x))^2-5cos(x)+2=0
Get rid of the 2-factor
This is a quadratic equation for the unknown U=cos(x)
Solve it by factoring or with the quadratic equation formula. The solutions are U=2 or U=1/2.
Since U=cos(x), the root U=cox(x)=2 must be rejected.
What is left is cos(x)=(1/2). The solutions are x=60 or x=-60 plus or minus 360 degrees.
Posted on Jul 26, 2014
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Posted on Jan 02, 2017
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