Advertisements
Advertisements
प्रश्न
`tan^-1(tan (7pi)/6)` = ______
पर्याय
`- pi/6`
`pi/6`
`(13pi)/6`
`(5pi)/6`
उत्तर
`pi/6`
APPEARS IN
संबंधित प्रश्न
If `sin^-1(1-x) -2sin^-1x = pi/2` then x is
- -1/2
- 1
- 0
- 1/2
If `tan^-1((x-1)/(x-2))+cot^-1((x+2)/(x+1))=pi/4; `
Show that `2sin^-1(3/5) = tan^-1(24/7)`
Find the value of the following:
`cos^(-1) (1/2) + 2 sin^(-1)(1/2)`
`sin^-1 1/2-2sin^-1 1/sqrt2`
If `sin^-1 x + sin^-1 y+sin^-1 z+sin^-1 t=2pi` , then find the value of x2 + y2 + z2 + t2
Evaluate the following:
`tan^-1(-1/sqrt3)+tan^-1(-sqrt3)+tan^-1(sin(-pi/2))`
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 A(ΔABC)
Find the principal value of the following: cos- 1`(-1/2)`
Evaluate the following:
`"cosec"^-1(-sqrt(2)) + cot^-1(sqrt(3))`
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:
`2tan^-1(1/3) = tan^-1(3/4)`
Prove the following:
`tan^-1["cosθ + sinθ"/"cosθ - sinθ"] = pi/(4) + θ, if θ ∈ (- pi/4, pi/4)`
In ΔABC, prove the following:
`(cos A)/a + (cos B)/b + (cos C)/c = (a^2 + b^2 + c^2)/(2abc)`
Find the principal solutions of the following equation:
sin 2θ = `− 1/(sqrt2)`
sin−1x − cos−1x = `pi/6`, then x = ______
The principal value of sin−1`(1/2)` is ______
If `sin(sin^-1(1/5) + cos^-1(x))` = 1, then x = ______
Evaluate:
`sin[cos^-1 (3/5)]`
Prove that cot−1(7) + 2 cot−1(3) = `pi/4`
Prove that `2 tan^-1 (1/8) + tan^-1 (1/7) + 2tan^-1 (1/5) = pi/4`
Prove that:
`tan^-1 (4/3) + tan^-1 (1/7) = pi/4`
Evaluate: sin`[1/2 cos^-1 (4/5)]`
Express `tan^-1 [(cos x)/(1 - sin x)], - pi/2 < x < (3pi)/2` in the simplest form.
Find the principal value of `sin^-1 1/sqrt(2)`
lf `sqrt3costheta + sintheta = sqrt2`, then the general value of θ is ______
In Δ ABC, with the usual notations, if sin B sin C = `"bc"/"a"^2`, then the triangle is ______.
If `sin^-1 3/5 + cos^-1 12/13 = sin^-1 P`, then P is equal to ______
The principal value of `tan^{-1(sqrt3)}` is ______
If 2tan-1 (cos x) = tan-1 (cosec2 x), then x = ______.
If sin `(sin^-1 1/3 + cos^-1 x) = 1`, then the value of x is ______.
`cos(2sin^-1 3/4+cos^-1 3/4)=` ______.
`(sin^-1(-1/2) + tan^-1(-1/sqrt(3)))/(sec^-1 (-2/sqrt(3)) + cos^-1(1/sqrt(2))` = ______.
`sin{tan^-1((1 - x^2)/(2x)) + cos^-1((1 - x^2)/(1 + x^2))}` is equal to ______
If `3tan^-1x +cot^-1x = pi`, then xis equal to ______.
The value of `sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]` is ______.
Show that `cos(2tan^-1 1/7) = sin(4tan^-1 1/3)`
All trigonometric functions have inverse over their respective domains.
If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to ____________.
If `"sin"^-1("x"^2 - 7"x" + 12) = "n"pi, AA "n" in "I"`, then x = ____________.
If sin-1 x – cos-1 x `= pi/6,` then x = ____________.
`"tan"^-1 (sqrt3)`
`"sin"^-1 (1/sqrt2)`
`"cos"^-1 1/2 + 2 "sin"^-1 1/2` is equal to ____________.
`2 "tan"^-1 ("cos x") = "tan"^-1 (2 "cosec x")`
`"cos"^-1 ["cos" (2 "cot"^-1 (sqrt2 - 1))] =` ____________.
The range of sin-1 x + cos-1 x + tan-1 x is ____________.
The equation 2cos-1 x + sin-1 x `= (11pi)/6` has ____________.
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 ____________.
`sin[π/3 - sin^-1 (-1/2)]` is equal to:
`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to ____________.
`"cos"^-1 ("cos" ((7pi)/6))` is equal to ____________.
If A = `[(cosx, sinx),(-sinx, cosx)]`, then A1 A–1 is
If `sqrt(2)` sec θ + tan θ = 1, then the general value of θ is
`sin(tan^-1x), |x| < 1` is equal to
If f(x) = x5 + 2x – 3, then (f–1)1 (–3) = ______.
If θ = `sin^-1((2x)/(1 + x^2)) + cos^-1((1 - x^2)/(1 + x^2))`, for `x ≥ 3/2` then the absolute value of `((cosθ + tanθ + 4)/secθ)` is ______.
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 x ∈ R – {0}, then `tan^-1 ((sqrt(1 + x^2) + sqrt(1 - x^2))/(sqrt(1 + x^2) - sqrt(1 - x^2)))`
The value of `cos^-1(cos(π/2)) + cos^-1(sin((2π)/2))` is ______.
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 ______.
If sin–1x – cos–1x = `π/6`, then x = ______.
The value of `tan(cos^-1 4/5 + tan^-1 2/3)` is ______.
Find the value of `sin(2cos^-1 sqrt(5)/3)`.
If tan 4θ = `tan(2/θ)`, then the general value of θ is ______.
Find the value of `tan^-1(x/y) + tan^-1((y - x)/(y + x))`
