# SOLUTION: Simplfy: cos((3*)/4+x)+ sin((3*)/4-x) Note: * = pie

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Trigonometry-basics Question 206780: Simplfy: cos((3*)/4+x)+ sin((3*)/4-x) Note: * = pieAnswer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!cos{ (3pi/4) +x} +sin { (3pi/4) -x} . The ref angle for (3pi/4) = pi/4 . cos { (3pi/4 +x} = -cos (pi/4 -x),,,as long as x . sin { (3pi/4)-x} = sin (pi/4 +x) . -cos (pi/4-x) + sin(pi/4 +x) . sin(pi/4 +x) - cos(pi/4-x) . Discussion: it is tempting to use the "sum and difference identities" . but this does not appear to "simplify" . Realizing that (pi/4) is 45 degrees, this is not a bad simplification