Question

Convert (-5,pi/4) to rectangle coordinates.
a. (5sqrt2/2,5sqrt2/2)
b. (sqrt2/2,sqrt2/2)
c. (5sqrt3/2,5/2)
d. (-5sqrt2/2,-5sqrt2/2)

Answer 1

\[Polar coordinates are \in (r,\theta)\]
\[x = r*\cos \theta\]
\[y = r * \sin \theta\]

Answer 2

The coordinates will be written as usual: (X,Y)

Answer 3

\[x=-5\cos \pi/4 \]\[y=-5\sin \pi/4\]

Answer 4

Yep. Do you know both the cosine and sine of pi/4? They're the same.

Answer 5

\[\sqrt{2}/2\]

Answer 6

There ya go. You got this problem by the balls.

Answer 7

lol so b is the answer?

Answer 8

can you help me with one more question?

Answer 9

or try to

Answer 10

No, silly! You forgot to multiply by -5 for both x and y.

Answer 11

x = -5*sqrt(2)/2
y = -5*sqrt(2)/2

Answer 12

oh crap. ok

Answer 13

I can try to help.

Answer 14

Find the product of the complex numbers. Express your answer in trigonometric form.

z1 = 7(cos(15) + isin(15))
z2 = 2(cos(110) + isin(110))

z1 = 14(cos(125) + isin(125))

z1 = 9(cos(125) + isin(125))

z1 = 5(cos(-95) + isin(-95))

z1 = 14(cos(265) + isin(265))

Answer 15

Ooooo, not help with this. Not an irrational number guy.

Answer 16

Sorry.

Answer 17

lol its ok. thank you though!!!

Answer 18

Unreal number guy I mean lol