Advertisements
Advertisements
प्रश्न
All trigonometric functions have inverse over their respective domains.
पर्याय
True
False
Advertisements
उत्तर
This statement is False.
Explanation:
We know that all inverse trigonometric functions are restricted over their domains.
APPEARS IN
संबंधित प्रश्न
If `tan^-1((x-1)/(x-2))+cot^-1((x+2)/(x+1))=pi/4; `
Show that:
`cos^(-1)(4/5)+cos^(-1)(12/13)=cos^(-1)(33/65)`
Find the principal value of the following:
`sec^(-1) (2/sqrt(3))`
Find the domain of the following function:
`f(x)=sin^-1x^2`
Find the domain of the following function:
`f(x)sin^-1sqrt(x^2-1)`
If `sin^-1 x + sin^-1 y+sin^-1 z+sin^-1 t=2pi` , then find the value of x2 + y2 + z2 + t2
Find the set of values of `cosec^-1(sqrt3/2)`
In ΔABC, if a = 18, b = 24, c = 30 then find the values of sinA.
Find the principal value of the following: tan-1(– 1)
Prove the following:
`cos^-1(3/5) + cos^-1(4/5) = pi/(2)`
Prove the following:
`tan^-1(1/2) + tan^-1(1/3) = pi/(4)`
Find the principal solutions of the following equation:
sin 2θ = `− 1/(sqrt2)`
`tan^-1(tan (7pi)/6)` = ______
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)
Prove that:
`tan^-1 (4/3) + tan^-1 (1/7) = pi/4`
The principle solutions of equation tan θ = -1 are ______
In a triangle ABC, ∠C = 90°, then the value of `tan^-1 ("a"/("b + c")) + tan^-1("b"/("c + a"))` is ______.
The value of `sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]` is ______.
The equation tan–1x – cot–1x = `(1/sqrt(3))` has ______.
If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to ____________.
If `"cos"^-1 "x + sin"^-1 "x" = pi`, then the value of x is ____________.
`"tan"^-1 (sqrt3)`
`"sin" ["cot"^-1 {"cos" ("tan"^-1 "x")}] =` ____________.
The value of `"cos"^-1 ("cos" ((33 pi)/5))` is ____________.
Find the value of sec2 (tan-1 2) + cosec2 (cot-1 3) ____________.
3 tan-1 a is equal to ____________.
If `"x" in (- pi/2, pi/2), "then the value of tan"^-1 ("tan x"/4) + "tan"^-1 ((3 "sin" 2 "x")/(5 + 3 "cos" 2 "x"))` is ____________.
The equation of the tangent to the curve given by x = a sin3t, y = bcos3t at a point where t = `pi/2` is
Find the principal value of `cot^-1 ((-1)/sqrt(3))`
If f'(x) = x–1, then find f(x)
Assertion (A): The domain of the function sec–12x is `(-∞, - 1/2] ∪ pi/2, ∞)`
Reason (R): sec–1(–2) = `- pi/4`
Let x = sin–1(sin8) + cos–1(cos11) + tan–1(tan7), and x = k(π – 2.4) for an integer k, then the value of k is ______.
`cot^-1(sqrt(cos α)) - tan^-1 (sqrt(cos α))` = x, then sin x = ______.
If ax + b (sec (tan–1 x)) = c and ay + b (sec.(tan–1 y)) = c, then `(x + y)/(1 - xy)` = ______.
If y = `tan^-1 (sqrt(1 + x^2) - sqrt(1 - x^2))/(sqrt(1 + x^2) + sqrt(1 - x^2))`, then `dy/dx` is equal to ______.
