Advertisements
Advertisements
Question
Find the value of `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
Advertisements
Solution
We have `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
= `tan^-1(tan(- pi/6)) + cot^-1(cot pi/3) + tan^-1(-1)`
= `- pi/6 + pi/3 + (- pi/4)`
= `-pi/12`
APPEARS IN
RELATED QUESTIONS
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 (2pi)/3)`
Find the principal value of the following:
`sin^-1((sqrt3-1)/(2sqrt2))`
Find the principal value of the following:
`sin^-1((sqrt3+1)/(2sqrt2))`
Find the principal value of the following:
`sin^-1(cos (3pi)/4)`
For the principal value, evaluate of the following:
`sin^-1(-1/2)+2cos^-1(-sqrt3/2)`
Find the principal value of the following:
`tan^-1(-1/sqrt3)`
For the principal value, evaluate of the following:
`tan^-1(-1)+cos^-1(-1/sqrt2)`
For the principal value, evaluate the following:
`tan^-1sqrt3-sec^-1(-2)`
Find the principal value of the following:
`\text(cosec)^-1(2/sqrt3)`
For the principal value, evaluate the following:
`sin^-1(-sqrt3/2)+\text{cosec}^-1(-2/sqrt3)`
For the principal value, evaluate the following:
`cosec^-1(2tan (11pi)/6)`
Find the principal value of the following:
`cot^-1(sqrt3)`
Find the principal value of the following:
`cot^-1(tan (3pi)/4)`
Find the principal value of cos–1x, for x = `sqrt(3)/2`.
Find the value of `sin[2cot^-1 ((-5)/12)]`
The principal value branch of sec–1 is ______.
The principal value of the expression cos–1[cos (– 680°)] is ______.
The value of cot (sin–1x) is ______.
The principal value of `sin^-1 ((-sqrt(3))/2)` is ______.
Let θ = sin–1 (sin (– 600°), then value of θ is ______.
Find the value of `tan^-1 (tan (2pi)/3)`
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 domain of the function defined by f(x) = `sin^-1 sqrt(x- 1)` is ______.
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 ______.
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`.
If `5 sin theta = 3 "then", (sec theta + tan theta)/(sec theta - tan theta)` is equal to ____________.
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 ____________.
Which of the following is the principal value branch of `"cos"^-1 "x"`
What is the value of `tan^-1(1) cos^-1(- 1/2) + sin^-1(- 1/2)`
