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tia_tia [17]
2 years ago
14

Find the common difference of the arithmetic sequence. 4,32/3,31/3,3 The common difference is

Mathematics
1 answer:
ale4655 [162]2 years ago
3 0
2 is the common difference
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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)

8 0
3 years ago
How exactly do i name the 4 ways?
Vladimir79 [104]
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Mr. Kramer's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below. What is the area of the pat
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