Question
Write each complex number in rectangular form.$$3\left(\cos 210^{\circ}+i \sin 210^{\circ}\right)$$
Step 1
Since 210 degrees is in the third quadrant, both cosine and sine values will be negative. The reference angle for 210 degrees is 30 degrees. The cosine of 30 degrees is $\frac{\sqrt{3}}{2}$ and the sine of 30 degrees is $\frac{1}{2}$. Therefore, $\cos 210^{\circ} Show more…
Show all steps
Your feedback will help us improve your experience
Joseph Lentino and 58 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
Express each complex number in rectangular form. $$-4\left(\cos 210^{\circ}+i \sin 210^{\circ}\right)$$
Vectors, the Complex Plane, and Polar Coordinates
Polar (Trigonometric) Form of Complex Numbers
Write each complex number in rectangular form. $$2\left(\cos 330^{\circ}+i \sin 330^{\circ}\right)$$
Applications of Trigonometry
Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
Write each complex number in rectangular form. $$4\left(\cos \left(-30^{\circ}\right)+i \sin \left(-30^{\circ}\right)\right)$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD