stephany015 stephany015
  • 25-06-2015
  • Mathematics
contestada

If the point(x,√3/3)is on the unit circle, what is x?

Respuesta :

naǫ
naǫ naǫ
  • 25-06-2015
 The equation of the unit circle:
[tex]x^2+y^2=1[/tex]

[tex](x,y)=(x, \frac{\sqrt{3}}{3}) \\ \\ x^2+(\frac{\sqrt{3}}{3})^2=1 \\ x^2+\frac{3}{9}=1 \\ x^2+\frac{1}{3}=1 \\ x^2=1-\frac{1}{3} \\ x^2=\frac{3}{3}-\frac{1}{3} \\ x^2=\frac{2}{3} \\ x=\pm \sqrt{\frac{2}{3}} \\ x=\pm \frac{\sqrt{2}}{\sqrt{3}} \\ x=\pm \frac{\sqrt{2} \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} \\ x=\pm \frac{\sqrt{6}}{3} [/tex]

x is equal to [tex]-\frac{\sqrt{6}}{3}[/tex] or [tex]\frac{\sqrt{6}}{3}[/tex].
Answer Link

Otras preguntas

Write the equation of the line that passes through (-2,6) and (2,14 ) In slope intercept form. A. Y=2x-2 B. Y= 2x + 10 C. Y= 0.5x + 7 D. Y= 0.5x - 4
The supply in a given market can be shown through the use of the supply __________. A. map B. meter C. scale D. curve
7/20 in decimal form
What was the relationship between the Shona people and the groups along the Swahili Coast?
Where are endocrine glands found?
Assume f(x)=-2+8 and g(x)=3x what is the value of (f+g)(-1)
Identify the italicized word. Bill is "strong". subject predicate direct object indirect object predicate noun predicate adjective
The United States and its allies in the fall of 2001 began an effort to defeat terrorists. All of the following were individuals or groups who were the target o
What happens if you put a rat under vessel or glass ? Why
Given the equation 3x + 7 = 13, which order of operations completely solves for x?