anonymous
  • anonymous
Write the expression as either the sine, cosine, or tangent of a single angle.
Mathematics
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anonymous
  • anonymous
Write the expression as either the sine, cosine, or tangent of a single angle.
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
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sirm3d
  • sirm3d
the problem resembles that of a cosine of a difference of two angles
sirm3d
  • sirm3d
\[\cos (A-B)=\cos A \cos B + \sin A \sin B\]

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anonymous
  • anonymous
so is it cosin(pi/5 -pi/7)?
anonymous
  • anonymous
sirm3d
  • sirm3d
that's right.
sirm3d
  • sirm3d
you should combine pi/5-pi/7 into one angle, as required in the problem.
anonymous
  • anonymous
cos π/7?
sirm3d
  • sirm3d
\[\frac{\pi}{5}-\frac{\pi}{7}=\frac{7\pi-5\pi}{35}=\frac{2\pi}{35}\]

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