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Given this unit circle what is the value of x? HELP PLEASE

Given this unit circle what is the value of x? HELP PLEASE-example-1

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Answer:

x = -
(3)/(5)

Explanation:

consider the right triangle formed by the x- axis, the y- coordinate of the given point and the radius of the circle 1 , to the point from the centre.

using Pythagoras' identity

x² + (
(4)/(5) )² = 1²

x² +
(16)/(25) = 1 ( subtract
(16)/(25) from both sides )

x² = 1 -
(16)/(25) =
(9)/(25) ( take square root of both sides )

x² = ±
\sqrt{(9)/(25) } = ±
(√(9) )/(√(25) ) = ±
(3)/(5)

since the given point is in the second quadrant , then

x = -
(3)/(5)

User Deana
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