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What is the formula of SEC inverse X?

What is the formula of SEC inverse X?

Inverse Trigonometric Formulas List

S.No Inverse Trigonometric Formulas
5 sec-1(-x) = π -sec-1(x), |x| ≥ 1
6 cot-1(-x) = π – cot-1(x), x ∈ R
7 sin-1x + cos-1x = π/2 , x ∈ [-1, 1]
8 tan-1x + cot-1x = π/2 , x ∈ R

What is the value of SEC inverse 1?

sec−11=0 .

What is the range of SEC inverse X?

The domain of the inverse tangent function is (−∞,∞) and the range is (−π2,π2) . The inverse of the tangent function will yield values in the 1st and 4th quadrants….Graphs of Inverse Trigonometric Functions.

Function Domain Range
sec−1(x) (−∞,−1]∪[1,∞) [0,π2)∪(π2,π]
csc−1(x) (−∞,−1]∪[1,∞) [−π2,0)∪(0,π2]

What is the inverse of SEC?

arcsec
The inverse of sec is arcsec. In trigonometry, the inverse of the secant function is the arcsec.

What is the value of SEC inverse?

sec x−1, sometimes interpreted as (sec(x))−1 = 1sec(x) = cos(x) or cosine of x, the multiplicative inverse (or reciprocal) of the trigonometric function secant (see above for ambiguity)

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What is the value of sec inverse 2?

Since sec−1(2)=x , sec(x)=2 . As secant is the reciprocal of the cosine function, i.e. sec(x)=1cos(x) , the following must be true as well. Or cos(x)=12 . The range of sec−1(x) is [0,π2)∪(π2,π] .

What is the same as sec 1?

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 .

Is arcsec the same as 1 sec?

sec−1y = sec−1(y), sometimes interpreted as arcsec(y) or arcsecant of y, the compositional inverse of the trigonometric function secant (see below for ambiguity)

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