Pre-calculus

posted by .

Find the quotient
3[cos5pi/12+isin5pi/12] divided by 6[cospi/12+isinpi/12]. Express the quotient in rectangular form.
I worked it out as:
1/2[cospi/3+isinpi/3]
=1/2(1/2+1/2i)
=1/2+1/2i
Is this right?

  • Pre-calculus -

    You started out OK but went astray somewhere.
    Here's one way to do it.

    Rewrite it as
    (1/2)e^(i*5 pi/12)/e^(i*pi/12)
    = (1/2)e^(i*pi/3)
    = (1/2)[cos (pi/3)+ i sin(pi/3)]
    You got that far..
    = (1/2)[(1/2) + i(sqrt3)/2]
    1/4 + i (1/4)* sqrt3

  • Pre-calculus -

    Ok thanks i know where i went wrong

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Find the quotient 3(cos (5pi/12) + i sin (5pi/12) / 6(cos (pi/12) i sin (pi/12)). Express the quotient in rectangular form. I have no idea what I did but I got (1/4) - 433i/1000.
  2. precal

    find zw z=8(cospi/2+isinpi/2) w=4(cospi/4+isinpi/4)
  3. precal

    find the quotient z/w z=8(cospi/3+isinpi/3) w=4(cospi/18+isinpi/18)
  4. precalc

    1. Find (-1+i)^1/3 2. Express 2(cos5pi/3 + isin5pi/3) in regular form. would this be correct: 1-√3i?
  5. Pre-algebra

    I have some practice problems, and I need to have them worked out, showing your work. I will gain a better understanding of these problems by practicing them. Thank you. (6x+1)(x^2-9x+5) (2x^4+3)(4x^3+2) (12y^3+8y^2+20y)divided 2y …
  6. Pre Calculus

    Find each product or quotient. Express the result in rectangular form. 2(cosπ/6+isinπ/6) X 4(cos2π/3 +i2π/3)
  7. Pre-Calculus

    Find this quotient. Express the result in rectangular form. 9(cos3π/2 + isin3π/2) รท 3(cosπ/4 + isinπ/4)
  8. Estimation decimal quotient

    Use compatible numbers to find the each quotient ,2.90 divided by 29,48 divided by 3.2, 0.18 divided by 0.33,152 divided by 5.12,41.9 divided by 19,33.90 divided by 10.2, 502 divided by 9.5, 180.8 divided by 6 , 48 divided by 3.33, …
  9. Estimating decimal quotient

    Use compatible to find the following quotient 180.8 divided by 6 182divided by 11 55divided by 10.7 117.8divided by 0.12 0.6 divided by 5 145 divided by 0.3 60 divided by 5.9 1.8 divided by 20
  10. Precal

    How do i find the exact value for: (cos5pi/16)(cospi/16)+ (sin5pi/16)(sinpi/16)

More Similar Questions