2 years ago

Which set could represent P?

Mathematics

1 answer:

Veronika [31]2 years ago

6 0

2 should be the correct answer

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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

Solve for x I need help on this question

AlexFokin [52]

Answer:

$x\approx7.8$

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

$sin(\theta)=\frac{opposite}{hypotenuse}$