Find the trigonometric form of .
B)
C)
D)

Question

Find the trigonometric form of  . ​
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

To find the trigonometric form of a complex number in the form of a+bi, we first need to find the modulus and argument of the number.
The modulus of 11eacce6_1f5e_4e8a_9f49_41450a1fb7a7_TB7896_11 is 11.
To find the argument, we need to convert the complex number to exponential form. We have:
11eacce6_1f5e_4e8a_9f49_41450a1fb7a7_TB7896_11 = 11 * e^(ac + bi)
where ac and bi are the real and imaginary parts, respectively. From the given number, we have ac = eacce6_1f5e_4e8a_9f49 and bi = 41450a1fb7a7_TB7896_11.
Therefore, the argument is given by tan^(-1)(bi/ac) = tan^(-1)(41450a1fb7a7_TB7896_11/eacce6_1f5e_4e8a_9f49).
Using a calculator, we find that the argument is approximately 1.215 radians. Therefore, the trigonometric form of the complex number is:
11(cos(1.215) + i*sin(1.215)) or 11e^(i*1.215)
The correct choice is E, which represents the exponential form of the number with the correct argument.

Find the Trigonometric Form of . ​

Find the Trigonometric Form of .