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Popular >

prove (cos((5*pi/3)/4))=(cos(5 pi/(12)))

Solution

prove

(cos (\frac{5 \cdot \frac{π}{3}}{4})) = (cos (5 \frac{π}{12}))

Solution

True

Solution steps

cos (\frac{5 \cdot \frac{π}{3}}{4}) = cos (5 \cdot \frac{π}{12})

Manipulating left side

cos (\frac{5 \frac{π}{3}}{4})

Simplify

cos (\frac{5 \frac{π}{3}}{4}) : \frac{6 - 2}{4}

= \frac{- 2 + 6}{4}

Manipulating right side

cos (5 \frac{π}{12})

Simplify

cos (5 \frac{π}{12}) : \frac{6 - 2}{4}

= \frac{- 2 + 6}{4}

We showed that the two sides could take the same form

\Rightarrow True

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Frequently Asked Questions (FAQ)

Is (cos((5*pi/3)/4))=(cos(5 pi/(12))) ?
The answer to whether (cos((5*pi/3)/4))=(cos(5 pi/(12))) is True