Answer:
Hey mate....
Step-by-step explanation:
This is ur answer.....
first we need to find the angle that is above 63 degrees, it will be much easier to know the next one....
= (Supplementary angle) 180 - 63
= 117
Expression = 23x + 2
= 23 x ? + 2
= (Multiplication of 23)
= 23 x 5 + 2
= <u>117</u>
SIMPLE!
Have a look on the pic given below....
HOPE IT HELPS!
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Answer:
Step-by-step explanation:
Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.
When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.
Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?
What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!
Putting all of this together gives us:
z = |mag|*(cos(angle) + isin(angle))
= 2*cos(270°) + isin(270°)).
To verify, let's consider what cos(270°) and sin(270°) are.
If you graph cos(x) and look at 270°, you get 0.
If you graph sin(x) and look at 270°, you get -1.
So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.
♂️♂️ -15 a parallel, clarify your question
Ok so you would just take the two fractions and simply if needed and that the answer!
