Question
Write each complex number in rectangular form.$2\left(\cos 120^{\circ}+i \sin 120^{\circ}\right)$
Step 1
We know that 120 degrees is in the second quadrant, and it has a reference angle of 60 degrees. Therefore, we can use the values of cosine and sine for 60 degrees, but we need to consider the signs based on the quadrant. Show more…
Show all steps
Your feedback will help us improve your experience
Joseph Lentino and 86 other Calculus 2 / BC 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
Write each complex number in rectangular form. $$\sqrt{2}\left(\cos \left(-60^{\circ}\right)+i \sin \left(-60^{\circ}\right)\right)$$
Applications of Trigonometry
Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
Convert each complex number to rectangular form. $$\frac{1}{2}\left(\cos 240^{\circ}+i \sin 240^{\circ}\right)$$
Additional Topics in Trigonometry
Demoivre’s Theorem
Write each complex number in rectangular form. $$4\left(\cos 240^{\circ}+i \sin 240^{\circ}\right)$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD