Advertisements
Advertisements
प्रश्न
The principal value of cos−1`(-1/2)` is ______
पर्याय
`pi/3`
`pi/6`
`(2pi)/3`
`(3pi)/2`
Advertisements
उत्तर
`(2pi)/3`
APPEARS IN
संबंधित प्रश्न
Find the principal value of the following:
`tan^(-1) (-sqrt3)`
If sin−1 x = y, then ______.
`sin^-1 1/2-2sin^-1 1/sqrt2`
Find the domain of the following function:
`f(x)=sin^-1x+sin^-1 2x`
Find the domain of `f(x)=cotx+cot^-1x`
Evaluate the following:
`tan^-1(-1/sqrt3)+cot^-1(1/sqrt3)+tan^-1(sin(-pi/2))`
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)`.
Find the principal value of the following: `sin^-1 (1/2)`
Find the principal value of the following: tan-1(– 1)
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:
`cos^-1(3/5) + cos^-1(4/5) = pi/(2)`
Prove the following:
`tan^-1["cosθ + sinθ"/"cosθ - sinθ"] = pi/(4) + θ, if θ ∈ (- pi/4, pi/4)`
The principal value of sin−1`(1/2)` is ______
`tan^-1(tan (7pi)/6)` = ______
Evaluate `cos[pi/6 + cos^-1 (- sqrt(3)/2)]`
Show that `sin^-1(3/5) + sin^-1(8/17) = cos^-1(36/85)`
Find the principal value of the following:
`sin^-1 (- 1/2)`
Show that `sin^-1 (- 3/5) - sin^-1 (- 8/17) = cos^-1 (84/85)`
Choose the correct alternative:
cos 2θ cos 2ϕ+ sin2 (θ – ϕ) – sin2 (θ + ϕ) is equal to
`sin^-1x + sin^-1 1/x + cos^-1x + cos^-1 1/x` = ______
`sin^2(sin^-1 1/2) + tan^2 (sec^-1 2) + cot^2(cosec^-1 4)` = ______.
The value of cot (- 1110°) is equal to ______.
In a triangle ABC, ∠C = 90°, then the value of `tan^-1 ("a"/("b + c")) + tan^-1("b"/("c + a"))` is ______.
If 2sin2θ = 3cosθ, where 0 ≤ θ ≤ 2π, then θ = ______
If `3tan^-1x +cot^-1x = pi`, then xis equal to ______.
The domain of the function defined by f(x) = sin–1x + cosx is ______.
Show that `sin^-1 5/13 + cos^-1 3/5 = tan^-1 63/16`
All trigonometric functions have inverse over their respective domains.
If tan-1 3 + tan-1 x = tan-1 8, then x = ____________.
The value of `"cos"^-1 ("cos" ((33 pi)/5))` is ____________.
3 tan-1 a is equal to ____________.
`2"tan"^-1 ("cos x") = "tan"^-1 (2 "cosec x")`
If `"cot"^-1 (sqrt"cos" alpha) - "tan"^-1 (sqrt "cos" alpha) = "x",` then sinx is equal to ____________.
Domain and Rariges of cos–1 is:-
Find the value, if sin–1x = y, then `->`:-
`2tan^-1 (cos x) = tan^-1 (2"cosec" x)`, then 'x' will be equal to
What is the values of `cos^-1 (cos (7pi)/6)`
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 ______.
If cos–1 x > sin–1 x, then ______.
`sin[π/3 + sin^-1 (1/2)]` is equal to ______.
If sin–1x – cos–1x = `π/6`, then x = ______.
Solve for x:
5tan–1x + 3cot–1x = 2π
If tan 4θ = `tan(2/θ)`, then the general value of θ is ______.
