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Shalnov [3]
3 years ago
8

Which expression is equivalent to

Mathematics
1 answer:
Mrac [35]3 years ago
7 0
\sqrt{ \cfrac{225}{625}m^4n^6 }= \cfrac{15}{25}m^2|n|^3=   \cfrac{3}{5}m^2|n|^3
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1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?
pantera1 [17]

Answer: x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

Step by step:

1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

(Used a table of common angles)

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3 years ago
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romanna [79]

Answer:

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Step-by-step explanation:

x=5

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Step-by-step explanation:

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Step-by-step explanation:

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