## For what values of x is the tangent line horizontal?

The equation has a horizontal tangent when the slope of the tangent is zero. The slope of the tangent line to the graph of f(x) is actually f'(x). So when f'(x) = 0 we have a horizontal tangent line (the point where it changes from increasing to decreasing or vice versa).

## What are the values of tan?

Tangent Function

sin(θ) | cos(θ) | tan(θ) |
---|---|---|

sin(30°)=12 | cos(30°)=√32 | tan(30°)=12⋅2√3=√33 |

sin(45°)=√22 | cos(45°)=√22 | tan(45°)=√22⋅2√2=1 |

sin(60°)=√32 | cos(60°)=12 | tan(60°)=√32⋅21=√3 |

sin(90°)=1 | cos(90°)=0 | tan(90°)=10=undef. |

**How do you find the value of x?**

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

**Where the tangent line is horizontal?**

A horizontal tangent line is a mathematical feature on a graph, located where a function’s derivative is zero. This is because, by definition, the derivative gives the slope of the tangent line. Horizontal lines have a slope of zero. Therefore, when the derivative is zero, the tangent line is horizontal.

### Where do horizontal tangents occur?

Horizontal tangent lines exist where the derivative of the function is equal to 0, and vertical tangent lines exist where the derivative of the function is undefined.

### What is value of tan theta?

Tricks to Remember the Trigonometric Values

Formulas for Angle θ | Reciprocal Identities |
---|---|

tan θ = Opposite Side / Adjacent | tan θ = 1/ cot θ |

cot θ = Adjacent Side / Opposite | cot θ = 1/ tan θ |

sec θ = Hypotenuse / Adjacent Side | sec θ = 1/ cos θ |

cosec θ = Hypotenuse / Opposite | cosec θ = 1/ sin θ |

**What are the values of the X?**

X is an algebraic variable which has no defined value.

**What is the value of x in maths?**

The letter “x” is often used in algebra to mean a value that is not yet known. It is called a “variable” or sometimes an “unknown”. In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn’t have to be “x”, it could be “y”, “w” or any letter, name or symbol.

## What are the values of the tangent function?

Values of the tangent function. The value of the tangent is related to that of sine and cosine in that . Tangent is positive when both sine and cosine are positive, or both sine and cosine are negative. This happens between 0° and 90° and 180° and 270°.

## What is the tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side: so called because it can be represented as a line segment tangent to the circle, that is the line that touches the circle, from Latin linea tangens or touching line.

**What is the domain of tangent graph?**

Graph of the tangent function The graph of tangent is periodic, meaning that it repeats itself indefinitely. Unlike sine and cosine however, tangent has asymptotes separating each of its periods. The domain of the tangent function is all real numbers except whenever cos (θ)=0, where the tangent function is undefined.

**How do you find the tangent of a trigonometric function?**

In quadrant I, θ’=θ. Find tan (240°). tan (60°)=. 240° is in quadrant III where tangent is positive, so: tan (240°)=tan (60°)= Find tan (690°). Below are a number of properties of the tangent function that may be helpful to know when working with trigonometric functions.