Advertisements
Advertisements
Question
Find the value of `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
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
Write the principal value of `tan^(-1)+cos^(-1)(-1/2)`
Find the principal value of the following:
`sin^-1((sqrt3+1)/(2sqrt2))`
For the principal value, evaluate of the following:
`tan^-1(-1)+cos^-1(-1/sqrt2)`
Find the principal value of the following:
`sec^-1(-sqrt2)`
Find the principal value of the following:
`sec^-1(2tan (3pi)/4)`
Find the principal value of the following:
cosec-1(-2)
For the principal value, evaluate the following:
`sin^-1(-sqrt3/2)+\text{cosec}^-1(-2/sqrt3)`
For the principal value, evaluate the following:
`sin^-1[cos{2\text(cosec)^-1(-2)}]`
if sec-1 x = cosec-1 v. show that `1/x^2 + 1/y^2 = 1`
Find the value of `sec(tan^-1 y/2)`
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 value of sin (2 sin–1 (.6)) is ______.
The value of tan2 (sec–12) + cot2 (cosec–13) is ______.
The domain of the function cos–1(2x – 1) is ______.
If `cos(sin^-1 2/5 + cos^-1x)` = 0, then x is equal to ______.
The set of values of `sec^-1 (1/2)` is ______.
The principal value of `tan^-1 sqrt(3)` is ______.
The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is ______.
The value of the expression (cos–1x)2 is equal to sec2x.
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 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 ____________.
`"sec" {"tan"^-1 (-"y"/3)}` is equal to ____________.
What is the principle value of `sin^-1 (1/sqrt(2))`?
