Question

What is the value of sin(${log}_e{i}^i)$ ?

• A. 0
• B. 1
• C. -1
• D. 2

Answer 1

The correct option is C

-1

sin(${log}_e{i}^i)$

= sin($i{log}_{e}i)$

Express complex number in Euler's form

= sin$\left[i{log}_e{e}^{i\frac{\pi }{2}}\right]$

= sin $(i.\frac{i\pi }{2})$

= sin $(-\frac{\pi }{2})$

=-1