Advertisements
Advertisements
Question
The value of `cos^-1 (cos (3pi)/2)` is equal to ______.
Options
`pi/2`
`(3pi)/2`
`(5pi)/2`
`(7pi)/2`
Solution
The value of `cos^-1 (cos (3pi)/2)` is equal to `pi/2`.
Explanation:
`cos^-1 (cos (3pi)/2) ≠ (3pi)/2` as `(3pi)/2 ∉ [0, pi]`
∴ `cos^-1 (cos (3pi)/2) = cos^-1 0 = pi/2`
APPEARS IN
RELATED QUESTIONS
Write the principal value of `tan^(-1)+cos^(-1)(-1/2)`
Find the value of `tan^(-1) sqrt3 - cot^(-1) (-sqrt3)`
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:
`tan^-1(-1/sqrt3)`
Find the principal value of the following:
`sec^-1(-sqrt2)`
For the principal value, evaluate the following:
`sin^-1(-sqrt3/2)-2sec^-1(2tan pi/6)`
Find the principal value of the following:
`\text(cosec)^-1(2/sqrt3)`
Find the value of `cos^-1(cos (13pi)/6)`.
Prove that tan(cot–1x) = cot(tan–1x). State with reason whether the equality is valid for all values of x.
Find the value of `sin[2cot^-1 ((-5)/12)]`
One branch of cos–1 other than the principal value branch corresponds to ______.
The domain of sin–1 2x is ______.
The value of sin (2 sin–1 (.6)) is ______.
Find the value of `tan^-1 (tan (5pi)/6) +cos^-1(cos (13pi)/6)`
Find the value of `tan^-1 (tan (2pi)/3)`
Which of the following is the principal value branch of cosec–1x?
If `cos(sin^-1 2/5 + cos^-1x)` = 0, then x is equal to ______.
The value of the expression `2 sec^-1 2 + sin^-1 (1/2)` is ______.
The value of `sin^-1 (sin (3pi)/5)` is ______.
The set of values of `sec^-1 (1/2)` is ______.
The principal value of `tan^-1 sqrt(3)` is ______.
The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.
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).`
What is the value of x so that the seven-digit number 8439 × 53 is divisible by 99?
What is the value of `tan^-1(1) cos^-1(- 1/2) + sin^-1(- 1/2)`
