# Two rhombuses have sides with lengths of #2 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #pi/3 #, what is the difference between the areas of the rhombuses?

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The area of a rhombus can be calculated using the formula: Area = (diagonal_1 * diagonal_2) / 2.

For both rhombuses, since the length of each side is 2, the diagonals can be calculated using trigonometry. The diagonals of a rhombus are twice the length of the side times the sine of the angle formed by the sides.

For the rhombus with an angle of π/12, the diagonal is: (2 \times 2 \times \sin(\pi/12)).

For the rhombus with an angle of π/3, the diagonal is: (2 \times 2 \times \sin(\pi/3)).

Using these diagonals, you can find the areas of both rhombuses and then find the difference between their areas.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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