Respuesta :
Recall the values of the trigonometric functions at the required angles:
[tex]\begin{array}{c|c|c}\alpha&\cos(\alpha)&\sin(\alpha)\\0&1&0\\90&0&1\\180&-1&0\\270&0&-1\end{array}[/tex]
So, the number -4 can be thought of as
[tex]-4 = 4(-1+0i) = 4(\cos(180)+i\sin(180))[/tex]
The trigonometric form for the complex number -4 can be thought of as
- 4 = 4(-1 + 0i)
=4(cos(180)+i sin?(180))
What is trigonometric form?
- The trigonometric form of complex numbers is also called the polar form of complex numbers. Because of this, make sure to review your knowledge of polar forms.
- The trigonometric form of complex numbers uses the modulus and an angle to describe a complex number's location. It is important to be able to convert from rectangular to trigonometric forms of complex numbers and from trigonometric to rectangular forms.
- The trigonometric form of a complex number z = a + bi is. z = r(cos θ + i sin θ), where r = |a + bi| is the modulus of z, and tan θ = b. a.
- To convert from trigonometric form to standard form, simply compute the trigonometric functions' values and expand the multiplication. Now we can use those angle sum formulae.
To learn more about Trigonometric form refer to:
https://brainly.com/question/4052216
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