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simplify and show all steps

(cotA - cos A)(1+sin A)/cos^3A

2006-12-02 07:07:49 · 1 answers · asked by nwo 1 in Education & Reference Homework Help

1 answers

(cotA -cosA)(1+sinA)/cos^3A
=(cosA/sinA -cosA)(1+sinA)/cos^3A
=cosA(1/sinA -1)(1+sinA)/cos^3A
=cosA(1-sinA)(1+sinA)cos^3A
=cosA(1-sin^2A)/cos^3A
=cosA.cos^2A/cos^3A
=cos^3A/cos^3A
=1

2006-12-02 07:28:01 · answer #1 · answered by flori 4 · 0 0

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