Can you prove sec theta-tan theta times sin theta=cos theta?Explain why.

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Answer 1 · 2018-05-13T23:04:05

Explain why I can prove this? Probably because I've been doing trig since 1974.

I"m never sure about the parentheses in these unformatted questions. Let's try it as written.

# sec theta - tan theta sin theta #

#= 1/cos theta - sin theta / cos theta cdot sin theta #

Wow, a common denominator.

#= {1 - \sin ^2 theta}/cos theta #

#= {cos ^2 theta}/cos theta #

# = cos theta quad sqrt #