SOLUTION: Simplify as much as possible: sin^3 (x) + sin(x) cos^2(x) all over cos(x) *in words-- sin cubed x plus sin x cosine squared x ___________ ___________ __________

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify as much as possible: sin^3 (x) + sin(x) cos^2(x) all over cos(x) *in words-- sin cubed x plus sin x cosine squared x ___________ ___________ __________      Log On


   

Question 1117038: Simplify as much as possible:
sin^3 (x) + sin(x) cos^2(x) all over cos(x)
*in words-- sin cubed x plus sin x cosine squared x
_________________________________________ (all over)
cos(x)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39631) About Me  (Show Source):
Answer by MathTherapy(10557) About Me  (Show Source):
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Simplify as much as possible:
sin^3 (x) + sin(x) cos^2(x) all over cos(x)
*in words-- sin cubed x plus sin x cosine squared x
_________________________________________ (all over)
cos(x)
%28sin%5E3+%28x%29+%2B+sin+%28x%29+%2A+cos%5E2+%28x%29%29%2Fcos%28x%29

%28sin%5E3+%28x%29+%2B+sin+%28x%29+%2A+%28+1+-+sin%5E2+%28x%29%29%29%2Fcos%28x%29 ----- Replacing matrix%281%2C3%2C+cos%5E2+%28x%29%2C+with%2C+1+-+sin%5E2+%28x%29%29

%28sin%5E3+%28x%29+%2B+sin+%28x%29+-+sin%5E3+%28x%29%29%2Fcos%28x%29 ----- Distributing in numerator