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Home Q & A Board Science-Related Homework Help Mathematics Pre-calculus and Functions
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klcarrasquillo klcarrasquillo
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5 years ago
Given that \(\cot \left(\frac{2\pi }{7}\right)=\tan z\ \), first express \(\frac{2\pi }{7}\) as a difference between \(\frac{\pi }{2}\) and an angle, and then apply a cofunction identity to determine the measure of angle \(z\).
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Educator
5 years ago
we're given cot(2pi/7)

also, the cofunction identity is:

cot ( pi/2 - z ) = tan z

so

pi /2 - z = 2pi/7

solve for z, you get 3pi/14

* make sure your calculator is in radians when checking your answer
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