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vivado [14]
1 year ago
15

Rewrite \sqrt((1+cos45)/(2)) using a half-angle identity

Mathematics
1 answer:
aleksklad [387]1 year ago
7 0

\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)

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Step-by-step explanation:

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6 0
3 years ago
The population of columbus, ohio, in 2014 was about 823,000. the population of the united states was about 319 million in 2014.
lord [1]
Below are the solutions:
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US: 3.19 * 10^8

B)
(3.19 * 10^8)/(8.23 * 10^5) = 3.19/8.23 * 10^8/10^5
= 3.19/8.23 * 10^3 = 0.387606318 * 10^3 
= 387.606318

The population of US is 387 times larger than that of Ohio's
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