How do you write the trigonometric form into a complex number in standard form #6(cos((5pi)/12)+isin((5pi)/12))#?
The complex number in standard form is
To convert from trig form to standard form, simply compute the trig functions' values and expand the multiplication.
First, let's find the
We can figure out that
Now we can use those angle sum formulae.
Here is a unit circle to remind us of some trig values:
Now we can plug in the values to the trig form of the complex number:
That's it. Hope this helped!