Question

The number of solutions of the equation $\left|\sin \frac{\pi }{2}\left(1-x\right)+\cos \frac{\pi }{2}\left(1-x\right)\right|=\sqrt{\left|{\log }_e{\left|x\right|}^3+1\right|}$ is /are.

• A. 4
• B. 6
• C. 8
• D. 10

Answer 1

The correct option is B 6

Simplify, sin $\pi x=\left|{\left(\log \left|x\right|\right)}^3\right|$ By graph, we get 6 solutions.