Advertisements
Advertisements
प्रश्न
Find the principal value of the following:
`sin^-1((sqrt3-1)/(2sqrt2))`
Advertisements
उत्तर
`sin^-1((sqrt3-1)/(2sqrt2))` `=sin^-1(sin pi/12)=pi/12`
APPEARS IN
संबंधित प्रश्न
The principal solution of `cos^-1(-1/2)` is :
Solve `3tan^(-1)x + cot^(-1) x = pi`
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(cos (3pi)/4)`
Find the principal value of the following:
`sin^-1(tan (5pi)/4)`
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(2cos (2pi)/3)`
For the principal value, evaluate of the following:
`tan^-1{2sin(4cos^-1 sqrt3/2)}`
Find the principal value of the following:
`sec^-1(-sqrt2)`
For the principal value, evaluate the following:
`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`
Solve for x, if:
tan (cos-1x) = `2/sqrt5`
Find value of tan (cos–1x) and hence evaluate `tan(cos^-1 8/17)`
Find the value of `sin(2tan^-1 2/3) + cos(tan^-1 sqrt(3))`
Which of the following corresponds to the principal value branch of tan–1?
The greatest and least values of (sin–1x)2 + (cos–1x)2 are respectively ______.
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 cos–1(2x – 1) is ______.
The value of `cos^-1 (cos (3pi)/2)` 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 value of `sin^-1 (sin (3pi)/5)` is ______.
The set of values of `sec^-1 (1/2)` is ______.
The value of `cos^-1 (cos (14pi)/3)` 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 least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.
The minimum value of n for which `tan^-1 "n"/pi > pi/4`, n ∈ N, is valid is 5.
The principal value of `sin^-1 [cos(sin^-1 1/2)]` is `pi/3`.
The general solution of the equation `"cot" theta - "tan" theta = "sec" theta` is ____________ where `(n in I).`
`2 "cos"^-1 "x = sin"^-1 (2"x" sqrt(1 - "x"^2))` is true for ____________.
`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to ____________.
What is the principle value of `sin^-1 (1/sqrt(2))`?
What is the value of `tan^-1(1) cos^-1(- 1/2) + sin^-1(- 1/2)`
