# What is the derivative of the SEC?

## What is the derivative of the SEC?

The derivative of sec x with respect to x is sec x · tan x. i.e., it is the product of sec x and tan x. We denote the derivative of sec x with respect to x with d/dx(sec x) (or) (sec x)’. Thus, d/dx (sec x) = sec x · tan x (or)

### What is Secx equal to?

1 cos 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 .

Which is equivalent to sec ∅?

Trigonometry Examples The exact value of sec(0) is 1 .

How do you solve sec?

Secant Formula Thus, the secant of angle α in a right triangle is equal to the length of the hypotenuse c divided by the adjacent side b. To solve sec, simply enter the length of the hypotenuse and adjacent side, then solve. This formula might look very similar to the formula to calculate cosine.

## Which is equivalent to sec θ?

1cosθ
Allied to these are the three reciprocal ratios, cosecant, secant and cotangent: cosecθ=hypotenuseopposite,secθ=hypotenuseadjacent,cotθ=adjacentopposite. cosecθ=1sinθ,secθ=1cosθ,cotθ=1tanθ.

### What is value of sec?

The secant of angle zero degrees is written as ⁡ in Sexagesimal system and the exact value of secant of angle zero degrees is equal to one.

Where is sec theta?

What is sec theta? Sec theta of an angle in a right-angled triangle is defined as the ratio of the hypotenuse and adjacent side.

What is sec theta maths?

In a right angled triangle, the secant of an angle is: The length of the hypotenuse divided by the length of the adjacent side. The abbreviation is sec. sec(θ) = hypotenuse / adjacent. It is not commonly used, and is equal to 1/cosine.

## What is the value of sec θ?

Trigonometry Values Table

Angle 00 600
Tan θ 0 √3
Cot θ 1/√3
Sec θ 1 2
Cosec θ 2/√3

### What is the equivalent of sec θ?

Allied to these are the three reciprocal ratios, cosecant, secant and cotangent: cosecθ=hypotenuseopposite,secθ=hypotenuseadjacent,cotθ=adjacentopposite. cosecθ=1sinθ,secθ=1cosθ,cotθ=1tanθ.

What is the formula of sec θ?

Cosecant, Secant and Cotangent

Cosecant Function: csc(θ) = Hypotenuse / Opposite
Secant Function: sec(θ) = Hypotenuse / Adjacent
Cotangent Function: cot(θ) = Adjacent / Opposite

What is the value of sec theta?

the equation sec(theta)=-1 turns to 1/cos(theta)=-1, which is equivalent to cos(theta)=-1. The only values of theta that satisfy this are theta=pi +2k pi for k in ZZ. If you prefer the notation with degrees: theta=180°+360°k for k in ZZ.

## What is the derivative of 7xy?

What is the derivative of 7xy? That depends on what variable you want to take the derivative with respect to. With respect to x the answer is 7 ⋅ y, while with respect to y the answer is 7 ⋅ x. When you take a derivative of a function you get an expression that represents the rate of change or slope of that function.

### What is the derivative of sec x?

What is Derivative of Sec x? The derivative of sec x with respect to x is sec x · tan x. i.e., it is the product of sec x and tan x. We denote the derivative of sec x with respect to x with d/dx (sec x) (or) (sec x)’.

Why is SEC (XY) not a function?

In essence, the problem is asking you to implicitly differentiate the equation y = sec (xy). The equation is not defining y as a function of x and itself, which is what I thought you were trying to do. and this is because sec (xy) is not a function.

How do you take the derivative with respect to X and Y?

That depends on what variable you want to take the derivative with respect to. With respect to x the answer is 7⋅y, while with respect to y the answer is 7⋅x. When you take a derivative of a function you get an expression that represents the rate of change or slope of that function.