Advertisements
Advertisements
प्रश्न
The principal value of `tan^-1 sqrt(3)` is ______.
उत्तर
The principal value of tan^-1 sqrt(3)` is `pi/3`.
Explanation:
`tan^-1 sqrt(3) = tan^-1(tan pi/3)`
= `pi/3 ∈ ((-pi)/2, pi/2)`
APPEARS IN
संबंधित प्रश्न
The principal solution of the equation cot x=`-sqrt 3 ` is
if `tan^(-1) a + tan^(-1) b + tan^(-1) x = pi`, prove that a + b + c = abc
Find the principal value of the following:
`sin^-1((sqrt3-1)/(2sqrt2))`
For the principal value, evaluate of the following:
`sin^-1(-sqrt3/2)+cos^-1(sqrt3/2)`
Find the principal value of the following:
`tan^-1(-1/sqrt3)`
Find the principal value of the following:
`tan^-1(2cos (2pi)/3)`
For the principal value, evaluate of the following:
`tan^-1(-1)+cos^-1(-1/sqrt2)`
For the principal value, evaluate of the following:
`tan^-1{2sin(4cos^-1 sqrt3/2)}`
Find the principal value of the following:
`cot^-1(sqrt3)`
Find the principal value of the following:
`cot^-1(-1/sqrt3)`
if sec-1 x = cosec-1 v. show that `1/x^2 + 1/y^2 = 1`
Find the value of `tan^-1 (tan (9pi)/8)`.
Find the value of `sin(2tan^-1 2/3) + cos(tan^-1 sqrt(3))`
The principal value branch of sec–1 is ______.
One branch of cos–1 other than the principal value branch corresponds to ______.
The domain of sin–1 2x is ______.
Find the value of `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
Find the value of `4tan^-1 1/5 - tan^-1 1/239`
The value of `sin^-1 [cos((33pi)/5)]` is ______.
If `cos(sin^-1 2/5 + cos^-1x)` = 0, then x is equal to ______.
The value of sin (2 tan–1(0.75)) is equal to ______.
The value of the expression `2 sec^-1 2 + sin^-1 (1/2)` is ______.
If tan–1x + tan–1y = `(4pi)/5`, then cot–1x + cot–1y equals ______.
The principal value of `cos^-1 (- 1/2)` is ______.
The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.
The period of the function f(x) = cos4x + tan3x is ____________.
If sin `("sin"^-1 1/5 + "cos"^-1 "x") = 1,` then the value of x is ____________.
If `"tan"^-1 ("a"/"x") + "tan"^-1 ("b"/"x") = pi/2,` then x is equal to ____________.
What is the principal value of `cot^-1 ((-1)/sqrt(3))`?
