How do you write in simplest radical form the coordinates of point A if A is on the terminal side of angle in standard position whose degree measure is $θ$ $theta$ : OA=8, $θ = 120^{\circ}$ $theta=120^circ$ ?

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How do you write in simplest radical form the coordinates of point A if A is on the terminal side of angle in standard position whose degree measure is $θ$ $theta$ : OA=8, $θ = 120^{\circ}$ $theta=120^circ$ ?

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Answer 1 · 2018-03-06T13:29:03

Coordinates of $A (- 4, 4 \sqrt{3})$ $color(blue)(A (-4, 4 sqrt3)$

Explanation:

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$120^{\circ}$ $120^@$ is in **second quadrant **

$A_{x} = ¯ ¯¯¯¯ ¯ O A \cdot cos θ = 8 \cdot cos 120 = 8 \cdot (- cos (60)) = 8 \cdot - (\frac{1}{2}) = - 4$ $A_x = bar(OA) * cos theta = 8 * cos 120 = 8 * (- cos (60)) = 8 * -(1/2) = -4$

$A_{x} = - 4$ $color(blue)(A_x = -4)$

$A_{y} = ¯ ¯¯¯¯ ¯ O A \cdot sin θ = 8 \cdot sin 120 = 8 \cdot sin 60 = 8 \cdot (\frac{\sqrt{3}}{2})$ $A_y = bar(OA) * sin theta = 8 * sin 120 = 8 * sin 60 = 8 * (sqrt3/2)$

$A_{y} = 4 \sqrt{3}$ $color(blue)(A_y = 4 sqrt3$

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How do you write in simplest radical form the coordinates of point A if A is on the terminal side of angle in standard position whose degree measure is $θ$ $theta$ : OA=8, $θ = 120^{\circ}$ $theta=120^circ$ ?

1 Answer

Explanation:

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Science

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How do you write in simplest radical form the coordinates of point A if A is on the terminal side of angle in standard position whose degree measure is θtheta: OA=8, θ=120∘theta=120^circ?

1 Answer

Explanation:

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How do you write in simplest radical form the coordinates of point A if A is on the terminal side of angle in standard position whose degree measure is $θ$ $theta$ : OA=8, $θ = 120^{\circ}$ $theta=120^circ$ ?