Advertisements
Advertisements
प्रश्न
`sin^-1{cos(sin^-1 sqrt3/2)}`
Advertisements
उत्तर
`sin^-1{cos(sin^-1 sqrt3/2)}=sin^-1{cos(sin^-1 sin pi/3)}`
`=sin^-1{cos(pi/3)}`
`=sin^-1{1/2}`
`=sin^-1{sin pi/6}`
`=pi/6`
APPEARS IN
संबंधित प्रश्न
Find the principal value of the following:
cosec−1 (2)
Find the principal value of the following:
`cos^(-1) (-1/sqrt2)`
`sin^-1 1/2-2sin^-1 1/sqrt2`
Find the domain of the following function:
`f(x) = sin^-1x + sinx`
Find the domain of the following function:
`f(x)sin^-1sqrt(x^2-1)`
Prove that:
cot−1 7 + cot−1 8 + cot−1 18 = cot−1 3 .
In ΔABC, if a = 18, b = 24, c = 30 then find the values of cosA
In ΔABC, if a = 18, b = 24, c = 30 then find the values of cos `A/2`
In ΔABC, if a = 18, b = 24, c = 30 then find the values of sinA.
In ΔABC prove that `(b + c - a) tan "A"/(2) = (c + a - b)tan "B"/(2) = (a + b - c)tan "C"/(2)`.
Evaluate the following:
`tan^-1 sqrt(3) - sec^-1 (-2)`
Prove the following:
`sin^-1(-1/2) + cos^-1(-sqrt(3)/2) = cos^-1(-1/2)`
Prove the following:
`sin^-1(3/5) + cos^-1(12/13) = sin^-1(56/65)`
Prove the following:
`tan^-1[sqrt((1 - cosθ)/(1 + cosθ))] = θ/(2)`, if θ ∈ (– π, π).
Find the principal solutions of the following equation:
sin 2θ = `− 1/(sqrt2)`
sin−1x − cos−1x = `pi/6`, then x = ______
The principal value of cos−1`(-1/2)` is ______
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:
cosec-1 (2)
Evaluate:
`cos[tan^-1 (3/4)]`
Prove that `tan^-1 (m/n) - tan^-1 ((m - n)/(m + n)) = pi/4`
The principal value of `tan^{-1(sqrt3)}` is ______
The value of cot (- 1110°) is equal to ______.
If 2sin2θ = 3cosθ, where 0 ≤ θ ≤ 2π, then θ = ______
If 2 tan–1(cos θ) = tan–1(2 cosec θ), then show that θ = π 4, where n is any integer.
When `"x" = "x"/2`, then tan x is ____________.
If sin-1 x – cos-1 x `= pi/6,` then x = ____________.
If tan-1 3 + tan-1 x = tan-1 8, then x = ____________.
`"cos"^-1 ["cos" (2 "cot"^-1 (sqrt2 - 1))] =` ____________.
The range of sin-1 x + cos-1 x + tan-1 x is ____________.
If tan-1 x – tan-1 y = tan-1 A, then A is equal to ____________.
`2"tan"^-1 ("cos x") = "tan"^-1 (2 "cosec x")`
`"cos"^-1 ("cos" ((7pi)/6))` is equal to ____________.
Value of `sin(pi/3 - sin^1 (- 1/2))` is equal to
Number of values of x which lie in [0, 2π] and satisfy the equation
`(cos x/4 - 2sinx) sinx + (1 + sin x/4 - 2cosx)cosx` = 0
If ax + b (sec (tan–1 x)) = c and ay + b (sec.(tan–1 y)) = c, then `(x + y)/(1 - xy)` = ______.
`(tan^-1 (sqrt(3)) - sec^-1(-2))/("cosec"^-1(-sqrt(2)) + cos^-1(-1/2))` is equal to ______.
`sin[π/3 + sin^-1 (1/2)]` is equal to ______.
Find the value of `sin(2cos^-1 sqrt(5)/3)`.
