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Chapter 9: Q. 4 (page 629)

The rectangular coordinates of a point are given. Find two pairs of polar coordinates (r,胃)for each point, one with r>0r and the other with r<0. Express 胃 in radians

Short Answer

Expert verified

The polar co-ordinates are(32,1.5574)and(-32,-1.5574)

Step by step solution

01

Step 1. Value of r

The co-ordinates are given as (-3,3)

We know,r=x2+y2r=32+(-3)2r=32

02

Step 2. Value of θ

The value of 胃can be found by,

胃=tan-1(y/x)=tan-1(-1/1)=1.5574

03

Step 3. Value of angle with negative r

When r=-32, the ray will go in the opposite direction,

Therefore胃=-1.5574

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Most popular questions from this chapter

Find the six complex sixth roots of unity (1) and plot them.

Rose curves are characterized by equations of the formr=acosn胃orr=asinn胃,a鈮�0.If n鈮�0is even, the rose has _____ petals; if n鈮�卤1is odd, the rose has ______ petals.

Findzwand zw. Leave the answers in polar form.

role="math" localid="1646661399572" z=2+2iw=3-i

Find ||v|| if v=-2i+3j

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=4+2sin胃
See all solutions

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