Advertisements
Advertisements
प्रश्न
In ΔABC, if a = 18, b = 24, c = 30 then find the values of cosA
उत्तर
Given: a = 18, b = 24 and c = 30
∴ 2s = a + b + c
= 18 + 24 + 30
= 72
∴ s = 36
cosA = `(b^2 + c^2 - a^2)/(2bc)`
= `((24)^2 + (30)^2 - (18)^2)/(2(24)(30)`
= `(576 + 900 - 324)/(1440)`
= `(1152)/(1440)`
= `4/5`.
APPEARS IN
संबंधित प्रश्न
Find the principal values of `sin^(-1) (-1/2)`
Find the principal value of `tan^(-1) (-sqrt3)`
Find the value of the following:
`cos^(-1) (1/2) + 2 sin^(-1)(1/2)`
`sin^-1{cos(sin^-1 sqrt3/2)}`
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)`
Evaluate the following:
`cot^-1 1/sqrt3-\text(cosec)^-1(-2)+sec^-1(2/sqrt3)`
In ΔABC, if a = 18, b = 24, c = 30 then find the values of sin `(A/2)`.
Find the principal value of the following: cosec- 1(2)
Evaluate the following:
`"cosec"^-1(-sqrt(2)) + cot^-1(sqrt(3))`
Prove the following:
`sin^-1(3/5) + cos^-1(12/13) = sin^-1(56/65)`
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:
cot 2θ = 0.
The principal value of sin−1`(1/2)` is ______
`tan^-1(tan (7pi)/6)` = ______
Evaluate cot(tan−1(2x) + cot−1(2x))
Prove that `2 tan^-1 (3/4) = tan^-1(24/7)`
Find the value of `cos^-1 (1/2) + tan^-1 (1/sqrt(3))`
Evaluate `cos[pi/6 + cos^-1 (- sqrt(3)/2)]`
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`
Solve `tan^-1 2x + tan^-1 3x = pi/4`
Solve: tan-1 (x + 1) + tan-1 (x – 1) = `tan^-1 (4/7)`
Express `tan^-1 ((cos x - sin x)/(cos x + sin x))`, 0 < x < π in the simplest form.
Find the principal value of `sin^-1 1/sqrt(2)`
Find the principal value of `cos^-1 sqrt(3)/2`
The principle solutions of equation tan θ = -1 are ______
The value of 2 `cot^-1 1/2 - cot^-1 4/3` is ______
The principal value of `tan^{-1(sqrt3)}` is ______
The value of cot (- 1110°) is equal to ______.
`cos(2sin^-1 3/4+cos^-1 3/4)=` ______.
If 2sin2θ = 3cosθ, where 0 ≤ θ ≤ 2π, then θ = ______
If `3sin^-1((2x)/(1 + x^2)) - 4cos^-1((1 - x^2)/(1 + x^2)) + 2tan^-1((2x)/(1 - x^2)) = pi/3`, then x is equal to ______
If `tan^-1x + tan^-1y = (4pi)/5`, then `cot^-1x + cot^-1y` equals ______.
The value of `sin^-1(cos (53pi)/5)` is ______
`sin{tan^-1((1 - x^2)/(2x)) + cos^-1((1 - x^2)/(1 + x^2))}` is equal to ______
The value of `cos(pi/4 + x) - cos(pi/4 - x)` is ______.
The domain of y = cos–1(x2 – 4) is ______.
If 2 tan–1(cos θ) = tan–1(2 cosec θ), then show that θ = π 4, where n is any integer.
Show that `cos(2tan^-1 1/7) = sin(4tan^-1 1/3)`
Solve the following equation `cos(tan^-1x) = sin(cot^-1 3/4)`
Prove that `tan^-1 1/4 + tan^-1 2/9 = sin^-1 1/sqrt(5)`
When `"x" = "x"/2`, then tan x is ____________.
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 `"cos"^-1 "x + sin"^-1 "x" = pi`, then the value of x is ____________.
If tan-1 3 + tan-1 x = tan-1 8, then x = ____________.
`"tan"^-1 (sqrt3)`
If 6sin-1 (x2 – 6x + 8.5) = `pi`, then x is equal to ____________.
The value of `"cos"^-1 ("cos" ((33 pi)/5))` is ____________.
The equation 2cos-1 x + sin-1 x `= (11pi)/6` has ____________.
`sin[π/3 - sin^-1 (-1/2)]` is equal to:
If `"sin"^-1("x"^2 - 7"x" + 12) = "n"pi, AA "n" in "I"`, then x = ____________.
`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to ____________.
If a = `(2sin theta)/(1 + costheta + sintheta)`, then `(1 + sintheta - costheta)/(1 + sintheta)` is
The number of solutions of sin–1x + sin–1(1 – x) = cos–1x is
sin 6θ + sin 4θ + sin 2θ = 0, then θ =
The inverse of `f(x) = sqrt(3x^2 - 4x + 5)` is
Find the principal value of `tan^-1 (sqrt(3))`
what is the value of `cos^-1 (cos (13pi)/6)`
If f(x) = x5 + 2x – 3, then (f–1)1 (–3) = ______.
If f'(x) = x–1, then find f(x)
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 x ∈ R – {0}, then `tan^-1 ((sqrt(1 + x^2) + sqrt(1 - x^2))/(sqrt(1 + x^2) - sqrt(1 - x^2)))`
If tan–1 2x + tan–1 3x = `π/4`, then x = ______.
Derivative of `tan^-1(x/sqrt(1 - x^2))` with respect sin–1(3x – 4x3) 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 ______.
The value of `tan(cos^-1 4/5 + tan^-1 2/3)` is ______.