sin^(3) t + cos^(3) t + sin t cos^(2) t +sin^(2) t cos t = sin t + cos t
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sin^(3) t + cos^(3) t + sin t cos^(2) t +sin^(2) t cos t = sin t + cos t
Hint: replace the sin^2(t) term with 1-cos^2(t), and the cos^2t term with 1-sin^2t, and see how things cancel out.
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