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Hunter-Best [27]
3 years ago
5

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

Mathematics
1 answer:
pantera1 [17]3 years ago
8 0

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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What is the measure of one interior angle of the regular 32 gon?​
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A triangle has a 90° angle, and the other two interior angles are congruent. Explain how to find the measure of one of the two c
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Ok here are some things to understand while solving!

  • If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
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Hope this helped!

Study hard!

5 0
3 years ago
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Answer: Option (c) is correct.

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2 years ago
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