Question

The value of $\left\{\sin \right(\log i^i){\}}^3+\{\cos \left(\log i^i\right){\}}^3$ is

• A. 1
• B. -1
• C. 2
• D. 2i

Answer 1

The correct option is B -1

${\left\{sin\right(ilog{e}^{i\pi /2}\left)\right\}}^3+{\left\{cos\left(ilog{e}^{i\pi /2}\right)\right\}}^3$
$={\left\{sin\right(i\times i\left(\frac{\pi }{2}\right))\}}^3+\left(cos\right(i\times i\times \frac{\pi }{2}){)}^3$
= -1