The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
What is the function of sec x?
The secant function or sec function can be defined as the ratio of the length of the hypotenuse to that of the length of the base in a right-angled triangle. It is the reciprocal of cosine function and hence, is also written as sec x = 1 / cos x.
What is Secx derivative?
The derivative of sec x is sec x tan x whereas the derivative of sec-1x is 1/(x √x² – 1).
Is SEC (- x )= Secx?
To show that sec(- x ) = sec x for all x in the domain, we begin by writing. sec(−x)=1cos(−x) and then use the fact that cos(−x)=cosx for all x to complete the argument. Use this method to prove each of the following.
What is Secx TANX?
secx=1cosx and tanx=sinxcosx . Let’s plug these values into our original expression. we get. 1cosxsinxcosx=1cosx sinxcosx ⇒1sinx⇒cscx. Therefore, secxtanx=cscx.
What is sec theta?
The secant function ‘or’ Sec Theta is one of the trigonometric functions apart from sine, cosine, tangent, cosecant, and cotangent. In right-angled trigonometry, the secant function is defined as the ratio of the hypotenuse and adjacent side.
What is a sec in math?
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.
What is cosecant and secant?
Cosecant is the reciprocal of sine. Secant is the reciprocal of cosine. Cotangent is the reciprocal of tangent.
How do you differentiate sec 2x?
The derivative of sec2 (x) is 2sec2 (x) tan (x). The chain rule states that the derivative of f(g(x)) is equal to f ‘ (g(x)) ⋅ g ‘ (x).
What is the derivative of Secx 1?
It is sin(x)cos(x)2 .
Why SEC (- X is sec x?
The secant function is only the inverse of the cosine function. So sec(x)=1cos(x) . Now, the cosine function is said to be an “even” function. That is, if you put −x instead of x , you still get the same thing.
Is sec x even or odd?
1 Answer. f(x)=secx is an even function.
What is cot2 X?
Cot2x formula is an important formula in trigonometry. It is mathematically written as cot2x = (cot2x – 1)/(2cotx). Cot2x identity is also known as the double angle formula of the cotangent function in trigonometry.
