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Chapter 6: Q. 8 (page 419)

What is the y-intercept of $y = c o t x$ ?

Short Answer

Expert verified

The function $y = c o t x$ has no y-intercept.

Step by step solution

01

Step 1. Given Information

The given function is $y = c o t x .$

We have to find the y-intercept.

02

Step 2. Finding the y-intercept

To find they-intercept, substitute $0$ for x in a given function.

So,

$y = c o t x y = \frac{\cos x}{\sin x} y = \frac{\cos (0)}{\sin (0)} y = \frac{1}{0}$

Thus, the function has noy-intercept.

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Most popular questions from this chapter

In problems 13-20, $P (x, y)$ is the point on the unit circle that corresponds to a real number $t$ . Find the exact values of the six trigonometric functions of $t$ .

$(\frac{2 \sqrt{2}}{3}, - \frac{1}{3})$ .

graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.

$y = 2 c s c (\frac{1}{3} x) - 1$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$330 °$

Use a calculator to find the approximate value of each expression rounded to two decimal places.

$\tan \frac{π}{10}$

The equation $x^{2} + 2 x = {(x + 1)}^{2} - 1$ is an identity.

See all solutions

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