# Cofunction Calculator

## Cofunction Calculator

Calculate the trigonometric function based on the selected option

Do you want to find the cofunction of a trigonometric function? Use this **Cofunction Calculator** that is designed to help you quickly determine the cofunction value for a given angle. Enter the function and angle into the calculator to find the corresponding cofunction value.

## How to Use ?

Using the Cofunction Calculator is simple. Follow these steps:

**Function**: Select the trigonometric function (sin, cos, tan, cot, sec, csc) from the dropdown menu.**Angle**: Enter the angle in degrees into the angle input field. For example,`45`

.**Result**: The result field will display the cofunction value after calculation.

**Example Values:**

**Function**:`sin(x)`

**Angle**:`45`

**Result**: The calculator will show the result after pressing “Calculate”.

## What is a Cofunction?

Cofunctions are pairs of trigonometric functions that are complementary. This means that for any angle $x$, the value of a function is equal to the value of its cofunction at the complementary angle $9{0}^{\circ}-x$. The main pairs of cofunctions are:

- $\mathrm{sin}(x)$and $\mathrm{cos}(9{0}^{\circ}-x)$
- $\mathrm{cos}(x)$and $\mathrm{sin}(9{0}^{\circ}-x)$
- $\mathrm{tan}(x)$ and $\mathrm{cot}(9{0}^{\circ}-x)$
- $\mathrm{cot}(x)$and $\mathrm{tan}(9{0}^{\circ}-x)$
- $\mathrm{sec}(x)$ and $\mathrm{csc}(9{0}^{\circ}-x)$
- $\mathrm{csc}(x)$and $\mathrm{sec}(9{0}^{\circ}-x)$

### Formula

To calculate the cofunction, use the following formula:

$\text{Cofunction}=\text{Function}(9{0}^{\circ}-\text{Angle})$

**Variables**

Variable | Description |
---|---|

Function | The trigonometric function |

Angle | The angle in degrees |

Cofunction | The corresponding cofunction value |

## Calculation Examples

### Example 1:

**Function**:`sin(x)`

**Angle**:`30`

**Calculation Steps**:

**1. Determine the complementary angle**:

**2. Find the cofunction value**:

**3. Result**:

### Example 2:

**Inputs:**

**Function**:`tan(x)`

**Angle**:`45`

**Calculation Steps**:

**1. Determine the complementary angle**:

**2. Find the cofunction value**:

**3. Result**:

### Final Thoughts

The Cofunction Calc is a help tool for finding co-trig values. Put in the trig func and angle, it fast finds the co-trig vale. Use this calc to slim your trig math and get trig funcs and co-funcs fit.