Table of Contents

- 1 How do you do Secant Cosecant and Cotangent?
- 2 Why the graphs of the tangent cotangent secant, and cosecant functions do not have an amplitude?
- 3 What is the reciprocal of sin?
- 4 What is CSC formula?
- 5 Is cot the same as tan 1?
- 6 How do I know if I have SOH CAH TOA?
- 7 Is the SEC button on a calculator the same as the cot button?
- 8 Why are there no buttons on a calculator?

## How do you do Secant Cosecant and Cotangent?

tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4 .

## Why the graphs of the tangent cotangent secant, and cosecant functions do not have an amplitude?

The sine and cosine functions will have an amplitude. However, the tangent, cotangent, secant, and cosecant functions do not have an amplitude because these functions do not have a maximum value nor a minimum value. All the trigonometric functions have a period.

**Why do the graphs of tangent Secant Cosecant and Cotangent have Asymptotes?**

The graphs of tangent, secant, and cosecant have vertical asymptotes because they are defined as ratios, and the denominator is occasionally zero. The asymptotes help to delineate sections of the graph.

**Is there a cosecant button?**

Working with Reciprocal Trig Functions There are no specific keys or menu items on the graphing calculator for the secant, cosecant and cotangent functions. Consequently, you will have to use your knowledge of these functions when working with them on the graphing calculator.

### What is the reciprocal of sin?

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

### What is CSC formula?

For example, csc A = 1/sin A, sec A = 1/cos A, cot A = 1/tan A, and tan A = sin A/cos A.

**What is the period for Secant?**

2π

Similarly, the secant function has the same period, 2π, as the function used to define it, cosine.

**Do sine functions have asymptotes?**

Since the exponential function and the sine are defined for all real x, y is defined for all real x, so there are no vertical asymptotes. Since the tangent is the sine over the cosine, that happens when the tangent has its vertical asymptotes.

## Is cot the same as tan 1?

Cotangent is not same as tangent inverse. Cotangent function is equal to the reciprocal of tangent function.

## How do I know if I have SOH CAH TOA?

They are often shortened to sin, cos, and tan. The calculation is simply one side of a right-angled triangle divided by another side … we just have to know which sides, and that is where “sohcahtoa” helps….Sine, Cosine and Tangent.

Sine: | soh | sin(θ) = opposite / hypotenuse |
---|---|---|

Tangent: | toa | tan(θ) = opposite / adjacent |

**Is csc just sin flipped?**

Cosecant is the reciprocal of sine. Its abbreviation is csc. To determine csc, just flip sin over. Secant is the reciprocal of cosine.

**Why do we still use secant, cosecant, and cotangent?**

The six trigonometric functions (sine, cosine, tangent, secant, cosecant, cotangent) cover all the pairwise relationships between any two of the three sides of a right triangle, and so use of these functions by name have continued as this means of introducing students to trigonometry is clear and uncluttered.

Most graphing calculators do sec/csc/cot just fine. I know on the TI-83/84 its using the 2nd button before pressing the sin/cos/tan buttons. Labeled as sin -1 cos -1 or tan -1 which is the same as 1/sin, 1/cos, 1/tan.

Texas Instruments could totally build a button that would directly calculate those functions but it would need to find a spot to put that button. The real estate on a calculator is limited, so the manufacturers choose not to waste it on seldom used functions you can calculate on your own with a single extra button press.