Answer:
Explanation:
To express a complex number in polar form, we use the magnitude (or modulus) and argument (or angle) of the complex number.
For the complex number 5(cos(pi/4) + i*sin(pi/4)), the magnitude is 5, and the argument is pi/4.
Therefore, the polar form of the complex number is:
5 * (cos(pi/4) + i*sin(pi/4))
Similarly, for the complex number 5√2(cos(pi/4) + i*sin(pi/4)), the magnitude is 5√2, and the argument is pi/4.
Therefore, the polar form of the complex number is:
5√2 * (cos(pi/4) + i*sin(pi/4))
For the complex number 5(cos(-pi/4) + i*sin(-pi/4)), the magnitude is 5, and the argument is -pi/4.
Therefore, the polar form of the complex number is:
5 * (cos(-pi/4) + i*sin(-pi/4))
Similarly, for the complex number 5√2(cos(-pi/4) + i*sin(-pi/4)), the magnitude is 5√2, and the argument is -pi/4.
Therefore, the polar form of the complex number is:
5√2 * (cos(-pi/4) + i*sin(-pi/4))To express a complex number in polar form, we use the magnitude (or modulus) and argument (or angle) of the complex number.
For the complex number 5(cos(pi/4) + i*sin(pi/4)), the magnitude is 5, and the argument is pi/4.
Therefore, the polar form of the complex number is:
5 * (cos(pi/4) + i*sin(pi/4))
Similarly, for the complex number 5√2(cos(pi/4) + i*sin(pi/4)), the magnitude is 5√2, and the argument is pi/4.
Therefore, the polar form of the complex number is:
5√2 * (cos(pi/4) + i*sin(pi/4))
For the complex number 5(cos(-pi/4) + i*sin(-pi/4)), the magnitude is 5, and the argument is -pi/4.
Therefore, the polar form of the complex number is:
5 * (cos(-pi/4) + i*sin(-pi/4))
Similarly, for the complex number 5√2(cos(-pi/4) + i*sin(-pi/4)), the magnitude is 5√2, and the argument is -pi/4.
Therefore, the polar form of the complex number is:
5√2 * (cos(-pi/4) + i*sin(-pi/4))To express a complex number in polar form, we use the magnitude (or modulus) and argument (or angle) of the complex number.
For the complex number 5(cos(pi/4) + i*sin(pi/4)), the magnitude is 5, and the argument is pi/4.
Therefore, the polar form of the complex number is:
5 * (cos(pi/4) + i*sin(pi/4))
Similarly, for the complex number 5√2(cos(pi/4) + i*sin(pi/4)), the magnitude is 5√2, and the argument is pi/4.
Therefore, the polar form of the complex number is:
5√2 * (cos(pi/4) + i*sin(pi/4))
For the complex number 5(cos(-pi/4) + i*sin(-pi/4)), the magnitude is 5, and the argument is -pi/4.
Therefore, the polar form of the complex number is:
5 * (cos(-pi/4) + i*sin(-pi/4))
Similarly, for the complex number 5√2(cos(-pi/4) + i*sin(-pi/4)), the magnitude is 5√2, and the argument is -pi/4.
Therefore, the polar form of the complex number is:
5√2 * (cos(-pi/4) + i*sin(-pi/4))