हिंदी

In ΔABC, if a = 18, b = 24, c = 30 then find the values of tan A2 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

In ΔABC, if a = 18, b = 24, c = 30 then find the values of tan `A/2`

योग

उत्तर

Given : a = 18, b = 24 and c = 30
∴ 2s = a + b + c
= 18 + 24 + 30
= 72
∴ s = 36
`tan  "A"/(2) = (sin  "A"/2)/(cos  "A"/2)`

= `((1)/sqrt(10))/((3)/sqrt(10)`

= `(1)/(3)`.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometric Functions - Exercise 3.2 [पृष्ठ ८८]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Trigonometric Functions
Exercise 3.2 | Q 10.4 | पृष्ठ ८८

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

If `sin^-1(1-x) -2sin^-1x = pi/2` then x is

  1. -1/2
  2. 1
  3. 0
  4. 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 principal value of `tan^(-1) (-sqrt3)`


Find the principal value of  `sec^(-1) (2/sqrt(3))`


Find the value of the following:

If sin−1 x = y, then


Find the value of the following:

`cos^(-1) (cos  (13pi)/6)`


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)`


Evaluate the following:

`tan^-1(tan  (5pi)/6)+cos^-1{cos((13pi)/6)}`


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)`


Prove that:
cot−1 7 + cot​−1 8 + cot​−1 18 = cot​−1 3 .


Evaluate: tan `[ 2 tan^-1  (1)/(2) – 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 A(ΔABC)


Find the principal value of the following: sin-1 `(1/sqrt(2))`


Evaluate the following:

`tan^-1(1) + cos^-1(1/2) + sin^-1(1/2)`


Prove the following:

`sin^-1(-1/2) + cos^-1(-sqrt(3)/2) = cos^-1(-1/2)`


Prove the following:

`tan^-1[sqrt((1 - cosθ)/(1 + cosθ))] = θ/(2)`, if θ ∈ (– π, π).


Find the principal solutions of the following equation:

cot 2θ = 0.


sin−1x − cos−1x = `pi/6`, then x = ______


If `sin(sin^-1(1/5) + cos^-1(x))` = 1, then x = ______


Evaluate:

`sin[cos^-1 (3/5)]`


Find the value of `cos^-1 (1/2) + tan^-1 (1/sqrt(3))`


If tan−1x + tan−1y + tan−1z = π, then show that `1/(xy) + 1/(yz) + 1/(zx)` = 1


Prove that `2 tan^-1 (1/8) + tan^-1 (1/7) + 2tan^-1 (1/5) = pi/4`


Find the principal value of the following:

`sin^-1 (- 1/2)`


Find the principal value of the following:

tan-1 (-1)


Prove that:

`tan^-1 (4/3) + tan^-1 (1/7) = pi/4`


Show that `tan^-1 (1/2) + tan^-1 (2/11) = tan^-1 (3/4)`


Solve `tan^-1 2x + tan^-1 3x = pi/4`


Find the principal value of `cos^-1  sqrt(3)/2`


Find the principal value of cosec–1(– 1)


The value of cot `(tan^-1 2x + cot^-1 2x)` is ______ 


`sin^-1x + sin^-1  1/x + cos^-1x + cos^-1  1/x` = ______


If `sin^-1(x/13) + cosec^-1(13/12) = pi/2`, then the value of x is ______


If `sin^-1x + cos^-1y = (3pi)/10,` then `cos^-1x + sin^-1y =` ______ 


If 2tan-1 (cos x) = tan-1 (cosec2 x), then x = ______.


The principal value of `sin^-1 (sin  (3pi)/4)` is ______.


`tan[2tan^-1 (1/3) - pi/4]` = ______.


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 ______ 


`sin{tan^-1((1 - x^2)/(2x)) + cos^-1((1 - x^2)/(1 + x^2))}` is equal to ______ 


`cos^-1  4/5 + tan^-1  3/5` = ______.


If `3tan^-1x +cot^-1x = pi`, then xis equal to ______.


The domain of the function y = sin–1 (– x2) is ______.


The domain of y = cos–1(x2 – 4) is ______.


The domain of the function defined by f(x) = sin–1x + cosx is ______.


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 ____________.


`"sin"  265° -  "cos"  265°` is ____________.


If sin-1 x – cos-1 x `= pi/6,` then x = ____________.


`"sin"^-1 (-1/2)`


`"sin"^-1 (1/sqrt2)`


`"cos"^-1 1/2 + 2  "sin"^-1  1/2` is equal to ____________.


If 6sin-1 (x2 – 6x + 8.5) = `pi`, then x is equal to ____________.


`"tan"^-1 sqrt3 - "sec"^-1 (-2)` is equal to ____________.


The equation of the tangent to the curve given by x = a sin3t, y = bcos3t at a point where t = `pi/2` is


If A = `[(cosx, sinx),(-sinx, cosx)]`, then A1 A–1 is 


Which of the following functions is inverse of itself?


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 ______.


Consider f(x) = sin–1[2x] + cos–1([x] – 1) (where [.] denotes greatest integer function.) If domain of f(x) is [a, b) and the range of f(x) is {c, d} then `a + b + (2d)/c` is equal to ______. (where c < d) 


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 ______.


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 tan–1 2x + tan–1 3x = `π/4`, then x = ______.


The value of `cos^-1(cos(π/2)) + cos^-1(sin((2π)/2))` is ______.


`(tan^-1 (sqrt(3)) - sec^-1(-2))/("cosec"^-1(-sqrt(2)) + cos^-1(-1/2))` is equal to ______.


If –1 ≤ x ≤ 1, the prove that sin–1 x + cos–1 x = `π/2`


Prove that:

tan–1x + tan–1y = `π + tan^-1((x + y)/(1 - xy))`, provided x > 0, y > 0, xy > 1


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×