# Two rhombuses have sides with lengths of #3 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(7pi)/8 #, what is the difference between the areas of the rhombuses?

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The difference between the areas of the two rhombuses can be calculated using their diagonal lengths. Since the sides of both rhombuses have lengths of 3, their diagonals can be calculated using trigonometric properties.

For a rhombus with an angle of ( \frac{\pi}{12} ), the diagonal lengths are ( 3\sqrt{2} ) and ( 3\sqrt{6} ), and for a rhombus with an angle of ( \frac{7\pi}{8} ), the diagonal lengths are ( 3\sqrt{2} ) and ( 3\sqrt{6} ).

The difference between the areas of the rhombuses is zero since they have identical diagonal lengths.

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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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