Advertisements
Advertisements
प्रश्न
Find the value of `tan^-1 (tan (9pi)/8)`.
Advertisements
उत्तर
`tan^-1 (tan (9pi)/8) = tan^-1 tan(pi + pi/8)`
= `tan^-1(tan (pi/8))`
= `pi/8`
APPEARS IN
संबंधित प्रश्न
The principal solution of `cos^-1(-1/2)` is :
Write the principal value of `tan^(-1)+cos^(-1)(-1/2)`
Find the principal value of the following:
`sin^-1((sqrt3+1)/(2sqrt2))`
Find the principal value of the following:
`tan^-1(1/sqrt3)`
Find the principal value of the following:
`sec^-1(-sqrt2)`
Find the principal value of the following:
`sec^-1(2tan (3pi)/4)`
For the principal value, evaluate the following:
`tan^-1sqrt3-sec^-1(-2)`
Find the principal value of the following:
`cosec^-1(-sqrt2)`
Find the principal value of the following:
cosec-1(-2)
Find the principal value of the following:
`\text(cosec)^-1(2/sqrt3)`
For the principal value, evaluate the following:
`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`
Find the principal value of the following:
`cot^-1(-sqrt3)`
Show that `"sin"^-1(5/13) + "cos"^-1(3/5) = "tan"^-1(63/16)`
Find the principal value of cos–1x, for x = `sqrt(3)/2`.
One branch of cos–1 other than the principal value branch corresponds to ______.
The value of cot (sin–1x) is ______.
The principal value of `sin^-1 ((-sqrt(3))/2)` is ______.
The value of sin (2 sin–1 (.6)) is ______.
If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is ______.
The value of the expression sin [cot–1 (cos (tan–11))] is ______.
Find the value of `4tan^-1 1/5 - tan^-1 1/239`
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 `cot[cos^-1 (7/25)]` is ______.
The principal value of `cos^-1 (- 1/2)` is ______.
The set of values of `sec^-1 (1/2)` is ______.
The principal value of `tan^-1 sqrt(3)` is ______.
The value of `cos^-1 (cos (14pi)/3)` is ______.
The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.
The minimum value of n for which `tan^-1 "n"/pi > pi/4`, n ∈ N, is valid is 5.
`2 "cos"^-1 "x = sin"^-1 (2"x" sqrt(1 - "x"^2))` is true for ____________.
If sin `("sin"^-1 1/5 + "cos"^-1 "x") = 1,` then the value of x is ____________.
Which of the following is the principal value branch of `"cos"^-1 "x"`
Assertion (A): Maximum value of (cos–1 x)2 is π2.
Reason (R): Range of the principal value branch of cos–1 x is `[(-π)/2, π/2]`.
