Question
Write each complex number in rectangular form.$$2\left(\cos 45^{\circ}+i \sin 45^{\circ}\right)$$
Step 1
We know that $\cos 45^{\circ} = \frac{1}{\sqrt{2}}$ and $\sin 45^{\circ} = \frac{1}{\sqrt{2}}$. Show more…
Show all steps
Your feedback will help us improve your experience
Suman Saurav Thakur and 74 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 the form $a+b i$. $$\sqrt{2}\left(\cos 45^{\circ}+i \sin 45^{\circ}\right)$$
Applications of Trigonometry
Trigonometric Form of Complex Numbers
Write each complex number in rectangular form. Give exact values for the real and imaginary parts. Do not use a calculator. $$2\left(\cos 45^{\circ}+i \sin 45^{\circ}\right)$$
Applications of Trigonometry and Vectors
Trigonometric (Polar) Form of Complex Numbers
Write each complex number in rectangular form. $$4\left(\cos \left(-30^{\circ}\right)+i \sin \left(-30^{\circ}\right)\right)$$
Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD