{(:(-(sin\theta )(cos\theta )(e^(-i\phi )))-((sin\theta )cos\theta )(e^(+i\phi )))}
Added by Manuel P.
Close
Step 1
Step 1: The given expression is: $$((\sin\theta)(\cos\theta)(e^{-i\varphi})) - ((\sin\theta)(\cos\theta)(e^{i\varphi}))$$ Show more…
Show all steps
Your feedback will help us improve your experience
Victor Salazar and 57 other Chemistry 101 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use Equation $(4)$ to show that \begin{equation} \cos \theta=\frac{e^{i \theta}+e^{-i \theta}}{2} \quad \text { and } \quad \sin \theta=\frac{e^{j \theta}-e^{-i \theta}}{2 i} \end{equation}
Infinite Sequences and Series
The Binomial Series and Applications of Taylor Series
(a) Justify the formulas $\cos \theta=\left(e^{j t}+\mathrm{e}^{-j \theta}\right) / 2$ and $\sin \theta=$ $\left(e^{\prime \prime}-e^{-i \theta}\right) / 2 j$, using the appropriate series. (b) Display the above relationships geometrically by means of vector diagrams in the $x y$ plane.
Use the result ( $7.121$ ) to prove that $$ \cos \theta=\frac{e^{i \theta}+e^{-i \theta}}{2} \text { and } \sin \theta=\frac{e^{i \theta}-e^{-i \theta}}{2} $$
The Schrödinger Equation in One Dimension
Standing Waves in Quantum Mechanics; Stationary States
Recommended Textbooks
Chemistry: Structure and Properties
Chemistry The Central Science
Chemistry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD