Compute without using a calculator.
sin (9π/4)tan(7π/3)

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25-03-2014
Mathematics

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Compute without using a calculator.
sin (9π/4)tan(7π/3)

Sagot :

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Анонимidn Анонимidn · Answer 1 · 2014-03-28T19:09:52-04:00

Анонимidn Анонимidn

28-03-2014

[tex]sin\left(\frac{9\pi}{4}\right)tan\left(\frac{7\pi}{3}\right)=sin\left(2\frac{1}{4}\pi\right)tan\left(2\frac{1}{3}\pi\right)=sin\left(2\pi+\frac{1}{4}\pi\right)tan\left(2\pi+\frac{1}{3}\pi\right)\\\\=sin\frac{1}{4}\pi tan\frac{1}{3}\pi=\frac{\sqrt2}{2}\cdot\sqrt3=\frac{\sqrt6}{2}[/tex]

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