John L. answered 10/10/13
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Combine like terms
5x + 3x => 8x
Eliminate common factors
10 5 x 2 5 x 2 5
--- = ------- = -------- = ---
6 3 x 2 3 x 2 3
Substitute in known identities
5 + sin2 x + cos2x = 5 + 1 = 6
Reduce, reuse, recycle