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JulijaS [17]
3 years ago
12

Find the exact value by using a half-angle identity. tan seven pi divided by eight

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

9514 1404 393

Answer:

  1 -√2

Step-by-step explanation:

  \tan(x/2)=\dfrac{1-\cos(x)}{\sin(x)}\\\\\tan\left(\dfrac{1}{2}\cdot\dfrac{7\pi}{4}\right)=\dfrac{1-\cos\dfrac{7\pi}{4}}{\sin\dfrac{7\pi}{4}}=\dfrac{1-\dfrac{1}{\sqrt{2}}}{-\dfrac{1}{\sqrt{2}}}=\boxed{1-\sqrt{2}}

tan(7π/8) = 1 -√2

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A drum has a diameter of 26 inches and is 15 inches deep. Find the volume of this drum.
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Step-by-step explanation:

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trapecia [35]

Answer:

3 points on the line - (.5,3) (1,2) (1.5,1)

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3 = -2x + 4    subtract 4 from each side

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