<span>we have that
the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]
we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]
z1=3[cos 110° + i sin 110°]
cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]
z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is
</span>z1=3[cos 110° + i sin 110°]<span>
</span>z2=3[cos 230° + i sin 230°]
z3=3[cos 350° + i sin 350°]<span>
</span>
Answer:
Step-by-step explanation:
Hello there is no question
Answer:
omg i'm so sorry thats the wronge answer i ment this to go to a diffrent question
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Since, triangle ABC is the enlargement of triangle XYZ.
So, corresponding sides of both the triangles would be in proportion.
<u><em>Answer: =-7.5+20y</em></u>
Step-by-step explanation:
distributive property: a(b+c)=ab+ac
a=-2.5, b=3, c=8y
-2.5*3-(-2.5)*8y
3(-2.5)-8(-2.5)y
simplify by equation.
3(-2.5)-8(-2.5)y=-7.5+20y
=-7.5+20y
Hope this helps!
Thanks!
Have a great day!
