2022 DHS P1 Q4
For this question, you may use the result ${{\left( \cos \theta +\mathbf{i}\sin \theta \right)}^{n}}=(\cos n\theta +\mathbf{i}\sin n\theta )$.
Find the exact value(s) of $\theta $, where $-\frac{\pi }{2}\le \theta \le \frac{\pi }{2}$, given that
${{\left( \cos \theta +\mathbf{i}\sin \theta \right)}^{3}}+{{(\cos \theta +\mathbf{i}\sin \theta )}^{5}}=-\frac{1}{2}-\frac{\sqrt{3}}{2}\mathbf{i}$.
[6]
Suggested Video Solutions
Our H2 Math Tuition includes
- Question Bank with Video solutions to 1400+ questions
- Online Portal
- H2 Math Summary Notes
- Structured Curriculum and Notes
Share with your friends!
- No charge
- Unsubscribe anytime
Continue reading
Maximizing June Holidays: Is Joining a Crash Course Necessary?
As June holidays approach, students find themselves at a crucial juncture in their academic journey. With the semester winding down and exams looming on the horizon, the pressure to excel
5 Exam Preparation Tips: How We Help Students Excel in Exams
In the ever-evolving landscape of education, where academic success is often measured by performance in exams, the need for effective test preparation has never been more critical. Students face a
List MF 27
What is the MF 27? The MF 27, set to replace the MF 26 from 2025, is a comprehensive formula sheet developed by the Ministry of Education Singapore in collaboration