Advertisements
Advertisements
प्रश्न
Which of the following is the principal value branch of cos–1x?
विकल्प
`[(-pi)/2, pi/2]`
(0, π)
[0, π]
`(0, pi) - {pi/2}`
Advertisements
उत्तर
[0, π]
Explanation:
Principal value branch of cos–1x is [0, π]
APPEARS IN
संबंधित प्रश्न
Write the principal value of `tan^(-1)+cos^(-1)(-1/2)`
The principal solution of the equation cot x=`-sqrt 3 ` is
For the principal value, evaluate of the following:
`sin^-1(-sqrt3/2)+cos^-1(sqrt3/2)`
For the principal value, evaluate of the following:
`tan^-1(-1)+cos^-1(-1/sqrt2)`
Find the principal value of the following:
`sec^-1(2tan (3pi)/4)`
For the principal value, evaluate the following:
`tan^-1sqrt3-sec^-1(-2)`
Find the principal value of the following:
`cosec^-1(-sqrt2)`
Find the principal value of the following:
cosec-1(-2)
Find the principal value of the following:
`cosec^-1(2cos (2pi)/3)`
For the principal value, evaluate the following:
`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`
For the principal value, evaluate the following:
`sin^-1[cos{2\text(cosec)^-1(-2)}]`
Find the principal value of the following:
`cot^-1(-sqrt3)`
if sec-1 x = cosec-1 v. show that `1/x^2 + 1/y^2 = 1`
Solve for x, if:
tan (cos-1x) = `2/sqrt5`
Find the value of `tan^-1 (tan (9pi)/8)`.
Find the value of `sin[2cot^-1 ((-5)/12)]`
The principal value branch of sec–1 is ______.
The domain of sin–1 2x is ______.
The principal value of `sin^-1 ((-sqrt(3))/2)` is ______.
If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is ______.
The value of tan2 (sec–12) + cot2 (cosec–13) is ______.
Find the value of the expression `sin(2tan^-1 1/3) + cos(tan^-1 2sqrt(2))`
Find the value of `4tan^-1 1/5 - tan^-1 1/239`
Which of the following is the principal value branch of cosec–1x?
The domain of the function defined by f(x) = `sin^-1 sqrt(x- 1)` is ______.
The value of `cot[cos^-1 (7/25)]` is ______.
The value of `sin^-1 (sin (3pi)/5)` is ______.
If `cos(tan^-1x + cot^-1 sqrt(3))` = 0, then value of x is ______.
The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.
The result `tan^1x - tan^-1y = tan^-1 ((x - y)/(1 + xy))` is true when value of xy is ______.
The principal value of `sin^-1 [cos(sin^-1 1/2)]` is `pi/3`.
`"sec" {"tan"^-1 (-"y"/3)}` is equal to ____________.
What is the value of `tan^-1(1) cos^-1(- 1/2) + sin^-1(- 1/2)`
Assertion (A): Maximum value of (cos–1 x)2 is π2.
Reason (R): Range of the principal value branch of cos–1 x is `[(-π)/2, π/2]`.
Evaluate `sin^-1 (sin (3π)/4) + cos^-1 (cos π) + tan^-1 (1)`.
