# How do you multiply #e^(( 7 pi )/ 12 ) * e^( pi/2 i ) # in trigonometric form?

The answer is

Apply Euler's relation

Therefore,

Therefore,

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To multiply ( e^{(7\pi/12)} ) by ( e^{(\pi/2)i} ) in trigonometric form, you can add the exponents and express the result as a single exponential function.

( e^{(7\pi/12)} \times e^{(\pi/2)i} = e^{(7\pi/12 + \pi/2)i} )

Now, combine the exponents:

( 7\pi/12 + \pi/2 = (7\pi + 6\pi)/12 = (13\pi)/12 )

So, the result in trigonometric form is ( e^{(13\pi/12)i} ).

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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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