What is the distance between the points (2, 1 | vedclass

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(D) The distance $d$ between two points in polar coordinates $(r_1, 	heta_1)$ and $(r_2, 	heta_2)$ is given by the formula: $d = \sqrt{r_1^2 + r_2^2

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$\sqrt{3}$

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(D) The distance $d$ between two points in polar coordinates $(r_1, 	heta_1)$ and $(r_2, 	heta_2)$ is given by the formula: $d = \sqrt{r_1^2 + r_2^2 - 2r_1r_2 \cos(	heta_1 - 	heta_2)}$ Given $r_1 = 2, 	heta_1 = 15^{\circ}$ and $r_2 = 1, 	heta_2 = 75^{\circ}$. Substituting the values: $d = \sqrt{2^2 + 1^2 - 2(2)(1) \cos(15^{\circ} - 75^{\circ})}$ $d = \sqrt{4 + 1 - 4 \cos(-60^{\circ})}$ Since $\cos(-60^{\circ}) = \cos(60^{\circ}) = 0.5$: $d = \sqrt{5 - 4(0.5)}$ $d = \sqrt{5 - 2}$ $d = \sqrt{3}$

What is the distance between the points $(2, 15^{\circ})$ and $(1, 75^{\circ})$ in polar coordinates?

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