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Trig/Pre-Calculus

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

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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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