SOLUTION: tan∅=sin∅/√ 1-sin2∅ proved

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Question 894448: tan∅=sin∅/√ 1-sin2∅ proved
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your equation is:

tan%28t%29+=+sin%28t%29+%2F+sqrt%281-sin%5E2%28t%29%29

since 1 - sin^2(t) is equal to cos^2(t), this equation becomes:

tan%28t%29+=+sin%28t%29+%2F+sqrt%28cos%5E2%28t%29%29

since sqrt(cos^2(t)) = cos(t), this equation becomes:

tan%28t%29+=+sin%28t%29+%2F+cos%28t%29

since sin(t) / cos(t) = tan(t), this equation becomes:

tan%28t%29+=+tan%28t%29

i think that's all you need.