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Chapter 10: Problem 91

Determine whether the statement is true or false. Justify your answer. The inclination of a line is the angle between the line and the \(x\) -axis.

Short Answer

Expert verified
The statement is true.

Step by step solution

01

Understand the definition of inclination of a line

The inclination of a line is essentially the angle that it forms with the positive \(x\) -axis in a two-dimensional plane. It is also used to denote the slope of the line.
02

Evaluate the Statement

Given the definition of inclination of a line, the statement 'The inclination of a line is the angle between the line and the \(x\) -axis' is indeed true.

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Most popular questions from this chapter

In Exercises \(59-64,\) use a graphing utility to graph the polar equation. Find an interval for \(\theta\) for which the graph is traced only once. $$r=2 \cos \left(\frac{3 \theta}{2}\right)$$

Writing Write a short paragraph explaining why parametric equations are useful.

Converting a Polar Equation to Rectangular Form In Exercises \(91-116,\) convert the polar equation to rectangular form. $$\theta=2 \pi / 3$$

In Exercises \(23-48\) , sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. $$r=-3 \pi / 4$$

Converting a Polar Equation to Rectangular Form In Exercises \(91-116,\) convert the polar equation to rectangular form. $$r=4$$
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