Using complete sentences, explain the key features of the graph of the tangent function.

Asked by maham237 @ 27/11/2020 in Mathematics viewed by 426 People

Answered by maham237 @ 27/11/2020

Answer:

We are given the tangent function $f(x)=\tan x$ .

Firstly we know that, $\tan x=\frac{\sin x}{\cos x}$ , where $\sin x$ is the sine function and $\cos x$ is the cosine function.

Now, tangent function will be zero when its numerator is zero.

i.e. $\tan x=0$ when $\sin x=0$ .

i.e. $\tan x=0$ when $x=n \pi$ , where n is the set of integers.

So, tangent function crosses x-axis at $n \pi$ , n is the set of integers.

Further, tangent function will be undefined when its denominator is zero.

i.e. $\tan x=0$ when $\cos x=0$ .

i.e. $\tan x=0$ when $x=(2n-1) \frac{\pi}{2}$ , where n is the set of integers.

Moreover, a zero in the denominator gives vertical asymptotes.

So, tangent function will have vertical asymptotes at $(2n-1) \frac{\pi}{2}$ , n is the set of integers.

Therefore, these key features gives us the graph of a tangent function as shown below.

Using complete sentences, explain the key features of the graph of the cosine function.

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 371 persons

Using complete sentences, explain the key features of the graph of the sine function.

Asked by wiki @ 07/11/2020 in Mathematics viewed by 452 persons

Complete the sentence using the function given in the brackets

Asked by admin @ 06/08/2021 in English viewed by 579 persons

Complete the sentence using the function given in the bracket

Use the graph of the function to find f 2

Asked by admin @ 09/10/2021 in Mathematics viewed by 325 persons

Use the graph of the function to find f(-2)

What is the browser feature useful to add functionality

Asked by admin @ 11/08/2021 in Computer Science viewed by 2881 persons

Which browser feature used to add functionality to the Chrome browser by third parties

Use the words in the box to complete the sentences

Asked by admin @ 02/08/2021 in English viewed by 566 persons

1 Complete the sentences with the words and phrases in the box. You will need to use two of them twice. Usually use to went did used to go 1 …

Does this graph show a function? explain how you know

Asked by maham237 @ 02/07/2021 in Mathematics viewed by 380 persons

5 -5 5 -6 A. Yes; the graph passes the vertical line test. B. No; there are y-values that have more than one x-value. C. Yes, there are no y …

Does this graph show a function explain how you know

Asked by maham237 @ 29/12/2020 in Mathematics viewed by 413 persons

Does this graph show a function? Explain how you know. 5 -5 -5 A. No; there are y-values that have more than one x-value. B. No; the graph fails the …

What statement correctly describes the key features of the graph of f(x) = −3(one third)x + 1 − 2?

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 388 persons

What statement correctly describes the key features of the graph of f(x) = 4(one half)x + 1 − 3? A. Y-intercept of (0, −1), starts up on the left, gets …

Which function key is used to insert a keyframe

Asked by admin @ 13/08/2021 in Computer Science viewed by 387 persons

Which function key is used to insert keyframe

Use the given graph. determine the period of the function.

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 364 persons

Unit 6: Periodic Functions and Trigonometry Lesson 1: Exploring Periodic Data 1. Use the given graph. determine the period of the function. A. 4 B. -2.5 C. 2 D. 8 …

Complete the following sentences using an appropriate verb form

Asked by admin @ 17/08/2021 in English viewed by 447 persons

) Complete the following sentences using an appropriate verb form in the simple present tense.1. I always -------- (speak) the truth.2. He --------- (take) good care …

If sine of x equals 1 over 2, what is cos(x) and tan(x)? explain your steps in complete sentences.

Asked by maham237 @ 17/12/2020 in Mathematics viewed by 305 persons

Use a table of values to graph each quadratic function

Asked by admin @ 22/11/2021 in Mathematics viewed by 393 persons

PLEASE HELP ASAP A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of …

Functions and relations graphing using a table of values worksheet

Asked by admin @ 29/10/2021 in Mathematics viewed by 323 persons

Assignment: Function Equations Investigation Create matching cards for these linear functions. Each column will have three representations of the same function. One representation is given to you; you must use …