document.write( "Question 874821: Solve: cos^2 theta - sin^2 theta = rad3/2 for theta in the domain [0deg, 360deg] \n" ); document.write( "

Algebra.Com's Answer #527796 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
The solution provided by the other tutor is correct but incomplete. The end should be:
\n" ); document.write( "2x = 30 + 360n
\n" ); document.write( "2x = 330 + 360n
\n" ); document.write( "Dividing by 2:
\n" ); document.write( "x = 15 + 180n
\n" ); document.write( "x = 165 + 180n
\n" ); document.write( "Trying various integers for n, looking for x's between 0 and 360, we get:
\n" ); document.write( "x = 30 (when n = 0 in the first equation)
\n" ); document.write( "x = 210 (when n = 1 in the first equation)
\n" ); document.write( "x = 165 (when n = 0 in the second equation)
\n" ); document.write( "x = 345 (when n = 1 in the second equation)
\n" ); document.write( "Other n's result in x's that are either below 0 or above 360. So the solutions are 30, 165, 210 and 345.
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