Advertisements
Advertisements
प्रश्न
The principal value of sin−1`(1/2)` is ______
विकल्प
`pi/3`
`pi/6`
`(2pi)/3`
`(3pi)/2`
उत्तर
`pi/6`
APPEARS IN
संबंधित प्रश्न
Show that `2sin^-1(3/5) = tan^-1(24/7)`
Find the principal value of `cos^(-1) (sqrt3/2)`
Find the principal value of cosec−1 (2)
Find the principal value of tan−1 (−1)
Find the principal value of `cot^(-1) (sqrt3)`
Find the value of the following:
`cos^(-1) (1/2) + 2 sin^(-1)(1/2)`
Find the value of the following:
If sin−1 x = y, then
`tan^(-1) sqrt3 - sec^(-1)(-2)` is equal to ______.
Find the value of the following:
`tan^(-1) (tan (7x)/6)`
Find the domain of the following function:
`f(x)=sin^-1x^2`
Find the domain of `f(x)=cotx+cot^-1x`
Evaluate the following:
`cot^-1{2cos(sin^-1 sqrt3/2)}`
In ΔABC, if a = 18, b = 24, c = 30 then find the values of tan `A/2`
In ΔABC prove that `(b + c - a) tan "A"/(2) = (c + a - b)tan "B"/(2) = (a + b - c)tan "C"/(2)`.
Find the principal value of the following: cosec- 1(2)
Evaluate the following:
`cos^-1(1/2) + 2sin^-1(1/2)`
Evaluate the following:
`tan^-1 sqrt(3) - sec^-1 (-2)`
Prove the following:
`sin^-1(1/sqrt(2)) -3sin^-1(sqrt(3)/2) = -(3π)/(4)`
Prove the following:
`tan^-1(1/2) + tan^-1(1/3) = pi/(4)`
Prove the following:
`2tan^-1(1/3) = tan^-1(3/4)`
Prove the following:
`tan^-1[sqrt((1 - cosθ)/(1 + cosθ))] = θ/(2)`, if θ ∈ (– π, π).
Find the principal solutions of the following equation:
cot 2θ = 0.
sin−1x − cos−1x = `pi/6`, then x = ______
Evaluate cot(tan−1(2x) + cot−1(2x))
Evaluate:
`sin[cos^-1 (3/5)]`
Prove that sin `[tan^-1 ((1 - x^2)/(2x)) + cos^-1 ((1 - x^2)/(1 + x^2))]` = 1
Find the principal value of the following:
tan-1 (-1)
Solve `tan^-1 2x + tan^-1 3x = pi/4`
Evaluate: sin`[1/2 cos^-1 (4/5)]`
Express `tan^-1 ((cos x - sin x)/(cos x + sin x))`, 0 < x < π in the simplest form.
Find the principal value of `cos^-1 sqrt(3)/2`
Find the principal value of `sec^-1 (- sqrt(2))`
The value of cot `(tan^-1 2x + cot^-1 2x)` is ______
In ΔABC, tan`A/2 = 5/6` and tan`C/2 = 2/5`, then ______
sin[3 sin-1 (0.4)] = ______.
`sin^2(sin^-1 1/2) + tan^2 (sec^-1 2) + cot^2(cosec^-1 4)` = ______.
The value of `sin^-1(cos (53pi)/5)` is ______
The value of `sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]` is ______.
Solve for x `tan^-1((1 - x)/(1 + x)) = 1/2 tan^-1x, x > 0`
The domain of the function defined by f(x) = sin–1x + cosx is ______.
Show that `2tan^-1 (-3) = (-pi)/2 + tan^-1 ((-4)/3)`
Show that `sin^-1 5/13 + cos^-1 3/5 = tan^-1 63/16`
`"sin"^2 25° + "sin"^2 65°` is equal to ____________.
`"sin" 265° - "cos" 265°` is ____________.
`"cos"^-1 1/2 + 2 "sin"^-1 1/2` is equal to ____________.
`"sin"^-1 (1 - "x") - 2 "sin"^-1 "x" = pi/2`
`2 "tan"^-1 ("cos x") = "tan"^-1 (2 "cosec x")`
`"sin" ["cot"^-1 {"cos" ("tan"^-1 "x")}] =` ____________.
`"cos"^-1 ["cos" (2 "cot"^-1 (sqrt2 - 1))] =` ____________.
`"tan"(pi/4 + 1/2 "cos"^-1 "x") + "tan" (pi/4 - 1/2 "cos"^-1 "x") =` ____________.
`sin[π/3 - sin^-1 (-1/2)]` is equal to:
`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to ____________.
If a = `(2sin theta)/(1 + costheta + sintheta)`, then `(1 + sintheta - costheta)/(1 + sintheta)` is
Which of the following functions is inverse of itself?
What is the value of `sin^-1(sin (3pi)/4)`?
`sin(tan^-1x), |x| < 1` is equal to
`tan^-1 (1 - x)/(1 + x) = 1/2tan^-1x, (x > 0)`, x then will be equal to.
Value of `sin(pi/3 - sin^1 (- 1/2))` is equal to
`lim_(n→∞)tan{sum_(r = 1)^n tan^-1(1/(1 + r + r^2))}` is equal to ______.
cos–1(cos10) is equal to ______.
If ax + b (sec (tan–1 x)) = c and ay + b (sec.(tan–1 y)) = c, then `(x + y)/(1 - xy)` = ______.
If x ∈ R – {0}, then `tan^-1 ((sqrt(1 + x^2) + sqrt(1 - x^2))/(sqrt(1 + x^2) - sqrt(1 - x^2)))`
Derivative of `tan^-1(x/sqrt(1 - x^2))` with respect sin–1(3x – 4x3) is ______.
`(tan^-1 (sqrt(3)) - sec^-1(-2))/("cosec"^-1(-sqrt(2)) + cos^-1(-1/2))` is equal to ______.
If cos–1 x > sin–1 x, then ______.
Find the value of `cos(x/2)`, if tan x = `5/12` and x lies in third quadrant.
