- Demonstrate the ability to find the angle between two polar points
- Demonstrate the ability to find the distance between two polar points
#1:
Instructions: Find the distance between the polar points.
$$a)\hspace{.1em}(-4, -75°), (-2, 75°)$$
$$b)\hspace{.1em}(-1, 135°), (3, 255°)$$
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#2:
Instructions: Find the distance between the polar points.
$$a)\hspace{.1em}(-1, -255°), (-2, 255°)$$
$$b)\hspace{.1em}(-1, -90°), (4, 240°)$$
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#3:
Instructions: Find the distance between the polar points.
$$a)\hspace{.1em}(1, 330°), (-3, 105°)$$
$$b)\hspace{.1em}(-2, 345°), (3, 135°)$$
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#4:
Instructions: Find the distance between the polar points.
$$a)\hspace{.1em}(-4, 240°), (2, 210°)$$
$$b)\hspace{.1em}(1, -210°), (-4, 15°)$$
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#5:
Instructions: Find the distance between the polar points.
$$a)\hspace{.1em}(-2, 165°), (-3, 15°)$$
$$b)\hspace{.1em}(-3, 330°), (-2, 270°)$$
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Written Solutions:
#1:
Solutions:
$$a)\hspace{.1em}2\sqrt{5 + 2\sqrt{3}}≈ 5.819$$
$$b)\hspace{.1em}\sqrt{7}≈ 2.646$$
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#2:
Solutions:
$$a)\hspace{.1em}\sqrt{5 + 2\sqrt{3}}≈ 2.909$$
$$b)\hspace{.1em}\sqrt{17 + 4\sqrt{3}}≈ 4.892$$
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#3:
Solutions:
$$a)\hspace{.1em}\sqrt{10 - 3\sqrt{2}}≈ 2.399$$
$$b)\hspace{.1em}\sqrt{13 - 6\sqrt{3}}≈ 1.615$$
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#4:
Solutions:
$$a)\hspace{.1em}2\sqrt{5 + 2\sqrt{3}}≈ 5.819$$
$$b)\hspace{.1em}\sqrt{17 - 4\sqrt{2}}≈ 3.368$$
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#5:
Solutions:
$$a)\hspace{.1em}\sqrt{13 + 6\sqrt{3}}≈ 4.837$$
$$b)\hspace{.1em}\sqrt{7}≈ 2.646$$
