Check expression equivalent to

AI Thread Summary
The expression sec theta - sec theta (sin^2 theta) simplifies to -cos^2 theta/cos theta. Substituting sin^2 theta with 1 - cos^2 theta leads to the expression being factored. The correct final equivalent expression is cos theta, although there was a note about the negative sign in the simplification process. Clarification was provided that factoring 1/cos theta would make the steps clearer. The consensus is that the final answer is indeed cos theta.
aisha
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sec theta - sec theta (sin^2 theta)

=(1/cos theta) -(1/cos theta)(sin^2 theta)

sin^2 theta = 1-cos^2 theta

so after subbing this in I got

-cos^2 theta/cos theta

so an equivalent expression would be cos theta?
 
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Looks fine to me, although where you have -cos^2 θ/cos θ, there shouldn't be a -ve sign.
 
You should have factored \frac{1}{\cos \theta} and then it would have more clear...Yes,the final answer is \cos\theta.

Daniel.
 
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