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Chapter 9: Q. 35 (page 583)

Match the graph with the polar equation
$θ = \frac{3 π}{4}$

Short Answer

Expert verified

Option D is correct

Step by step solution

01

Step 1. The given information is

$θ = \frac{3 π}{4}$

02

Step 2. Transforming the given polar equation, we get

$\tan (\frac{3 π}{4}) = - 1$

Since $\tan θ = \frac{y}{x}$

Hence, $\frac{y}{x} = - 1$

03

Step 3. Solving we get

$\frac{y}{x} = - 1 y = - x$

It is the rectangular form of the equation $θ = \frac{3 π}{4}$

04

Making the graph we get,

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Most popular questions from this chapter

In Problems 13–28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

$r = 2$

Write the expression in the standard form $a + b i$ .

${[4 (\cos 40 ° + i \sin 40 °)]}^{3}$

True or False A cardiod passes through the pole.

In Problems 13–28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

$r = 4$

Plot the point whose rectangular coordinates are $(3, - 1)$ .

What quadrant does the point lie in?

See all solutions

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