How do you evaluate #cos (pi/6) cos (pi/3) - sin (pi/6) sin (pi/3)#?
Zero
Apply the trig identity: cos (a + b) = cos a.cos b - sin a.sin b #cos (pi/6)cos (pi/3) - sin (pi/3)sin (pi/6) = cos (pi/3 + pi/6) = = cos (pi/2) = 0#
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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.
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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