Find the exact value of cos(7pi/12) using half-angle

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JuanTorres7

05.01.2022

Using trigonometric half angle identities:
cos ( 7π/12 ) = $cos( \frac{ \frac{7 \pi }{6} }{2} ) = \\ =- \sqrt{ \frac{1+cos(7 \pi /6)}{2} } = \\= - \sqrt{ \frac{1- \sqrt{3}/2 }{2} } =- \sqrt{ \frac{2- \sqrt{3} }{4} } = \\ - \frac{ \sqrt{2- \sqrt{3} } }{2}$
... = -0.2588 ( correct )

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Ответ:

deijiahshatia

09.09.2021

Mathematics

23 pounds is 4 times as heavy as each container. Since 23 is divided by four containers...there is 5.75 pounds of cheese in container. 5.75 multiplied by 4 is 23.

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Find the exact value of cos(7pi/12) using half-angle identities.

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