Find the three cube roots of z=−3+3i in trigonometric form. Please show your work :) ill give brainliest
1 answer:
Answer:
The Answer to your problem is 3 √ 2
Step-by-step explanation:
Step 1. Find 0 ( helps to plot z on complex plane)
z is in quadrant 4
0 is between -/z and 0
Step 2. Find modulus |z|
|z|= check mark 3 to the power of 2 + (-3) power of 2 = check mark, 9+9 = check mark 18 =check mark 9.
Step 3. Write out z in polar form
z = 3 check mark 2.
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Answer:
i. RP = 17
ii. RT = 15
iii. RS = 30
Step-by-step explanation:
Given that; QT = 9 and TP = 8.
From the diagram, join R to P. Thus RP = QP (radius of the circle)
RP = QT + TP
= 9 + 8
RP = 17
Applying Pythagoras theorem to triangle TRP;
RT =
=
=
= 15
∴ RT = 15
But, RT = TS = 15.
So that;
RS = 15 + 15
= 30
RS = 30
Therefore; RP = 17, RT = 15 and RS = 30.