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Trig/Pre-Calculus

In today's lesson, we will explore the concept of complex numbers in trigonometric form. You'll learn how to find the absolute values of complex numbers and write them in trigonometric format. We'll discuss the significance of absolute value as the distance from zero in the complex plane and how to express complex numbers using both their real and imaginary components. By the end, you'll be able to convert complex numbers into trigonometric form effectively, using angles and reference points. Join us for a comprehensive understanding of this essential topic!

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Trig/Pre-Calculus

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  1. Trig/Pre-Calculus Today’s Lesson: 6.5a Complex Numbers in Trig Form You will: • Find absolute values of complex numbers • Write trigonometric forms of complex numbers

  2. Complex Numbers in Trig Form Absolute Value “the distance from zero” imaginary real

  3. Complex Numbers in Trig Form Find the absolute value of z. imaginary real

  4. Writing Complex Numbers in Trig Form r = |complex number| absolute value of |z|= r horizontal component is real vertical component is imaginary imaginary real

  5. Writing Complex Numbers in Trig Form imaginary real QI

  6. Complex Numbers in Trig Form Standard Form Trig Form Find  with arctangent of reference angle.

  7. Writing Complex Numbers in Trig Form Write the complex number in trig form. QIV real imaginary

  8. Writing Complex Numbers in Trig Form Write the complex number in trig form. QIII real imaginary

  9. Writing Complex Numbers in Trig Form Write the complex number in trig form. QIV real imaginary

  10. Closure Write in words how you might in standard form a + bi. Then convince your neighbor that you are correct. (This is just 3 steps.)

  11. HW: p440 1-32 all

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