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lorasvet [3.4K]
3 years ago
7

Find the general solution of

qrt%7B2%7D" id="TexFormula1" title="2cos(2x + \frac{\pi }{4} ) = \sqrt{2}" alt="2cos(2x + \frac{\pi }{4} ) = \sqrt{2}" align="absmiddle" class="latex-formula"> =

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0

Answer:

\large\boxed{x=-\dfrac{\pi}{4}+k\pi\ \text{or}\ x=k\pi\ \text{for}\ k\in\mathbb{Z}}

Step-by-step explanation:

2\cos\left(2x+\dfrac{\pi}{4}\right)=\sqrt2\qquad\text{divide both sides by 2}\\\\\cos\left(2x+\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\to2x+\dfrac{\pi}{4}=\pm\dfrac{\pi}{4}+2k\pi\\\\2x+\dfrac{\pi}{4}=-\dfrac{\pi}{4}+2k\pi\ \vee\ 2x+\dfrac{\pi}{4}=\dfrac{\pi}{4}+2k\pi\qquad\text{subtract}\ \dfrac{\pi}{4}\ \text{from all sides}\\\\2x=-\dfrac{2\pi}{4}+2k\pi\ \vee\ 2x=2k\pi\qquad\text{divide all sides by 2}\\\\x=-\dfrac{\pi}{4}+k\pi\ \vee\ x=k\pi\ \text{for}\ k\in\mathbb{Z}

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2 years ago
2. Ravi purchased an old house for Rs. 76.5000 and
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Answer:

Rs. 924000.

Step-by-step explanation:

Cost of  house = 765000

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Total cost incurred by Ravi = 765000 + 115000 = 880000

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Total selling price of house = Rs. 924000

Thus, Ravi got  Rs. 924000.

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The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

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Let C represent the cost for buying and caring for n trees. Given that:

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dC/dn = 0.002n - 0.3

0.002n - 0.3 = 0

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The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Find out more at: brainly.com/question/25836610

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3 years ago
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Answer:

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