The value of sec pi/2 is equal to the reciprocal of the x-coordinate(0). ∴ sec pi/2 = not defined.
Is the secant of pi over 2 undefined?
Correct answer:
Secant is the reciprocal of cosine, so the secant of any angle x for which cos x = 0 must be undefined, since it would have a denominator equal to 0. The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.
Is secant pi 2 differentiable?
secx is undefined at −π2 and π2 , so it is not continuous on the closed interval, [−π2,π2] . It is continuous on the open interval (−π2,π2) .
How many degrees is π 2 radians?
Since 90° = π / 2 radians, to four significant figures, one radian equals 180°/ π = 57.30°.
What is SEC equal to?
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 .
Where is SEC undefined?
THE SECANT FUNCTION
The secant, sec x, is the reciprocal of the cosine, the ratio of r to x. When the cosine is 0, the secant is undefined.
Why is secant 90 undefined?
The value of sec 90 degrees can be calculated by constructing an angle of 90° with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sec 90° is equal to the reciprocal of the x-coordinate(0). ∴ sec 90° = undefined(∞).
Where is SEC discontinuous?
Hence, the function f(x) = sec x is discontinuous on the set {x = (2n + 1) π/2, n ∈ Z}.
What is the domain of Secx?
Domain and Range for Sec, Cosec and Cot Functions
sec x will not be defined at the points where cos x is 0. Hence, the domain of sec x will be R-(2n+1)π/2, where n∈I. The range of sec x will be R- (-1,1).
What is the derivative of SEC 2x?
The derivative of sec^2x is equal to 2 sec2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.
What is sin squared pi 2?
The exact value of sin(π2) sin ( π 2 ) is 1 .
What is the Value of sin n pi by 2?
Thus, sin(nπ/2) will be zero.
What is pi 2 angle?
The circumference of the entire circle is 2π, so it follows that 360° equals 2π radians. Hence, 1° equals π/180 radians. and. 1 radian equals 180/π degrees.
What is 2 pi called?
Rather, according to The Tau Manifesto, “pi is a confusing and unnatural choice for the circle constant.” Far more relevant, according to the algebraic apostates, is 2π, aka tau.
