Advertisements
Advertisements
प्रश्न
In ΔABC, if a = 18, b = 24, c = 30 then find the values of sinA
उत्तर
Given : a = 18, b = 24 and c = 30
∴ 2s = a + b + c
= 18 + 24 + 30
= 72
∴ s = 36
216 = `(1)/(2)`(24)(30) sinA
∴ sinA = `(216)/(12 xx 30)`
= `(216)/(360)`
= `(3)/(5)`.
APPEARS IN
संबंधित प्रश्न
If `tan^-1((x-1)/(x-2))+cot^-1((x+2)/(x+1))=pi/4; `
Find the principal value of `cos^(-1) (sqrt3/2)`
Find the principal value of `tan^(-1) (-sqrt3)`
Find the value of the following:
`tan^(-1)(1) + cos^(-1) (-1/2) + sin^(-1) (-1/2)`
Find the value of the following:
`tan^(-1) (tan (7x)/6)`
Find the principal value of `sin^-1(1/sqrt2)`
`sin^-1{cos(sin^-1 sqrt3/2)}`
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
Evaluate the following:
`tan^-1(-1/sqrt3)+tan^-1(-sqrt3)+tan^-1(sin(-pi/2))`
Evaluate the following:
`cot^-1 1/sqrt3-\text(cosec)^-1(-2)+sec^-1(2/sqrt3)`
Evaluate the following:
`cot^-1{2cos(sin^-1 sqrt3/2)}`
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: cos- 1`(-1/2)`
Evaluate the following:
`cos^-1(1/2) + 2sin^-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).
The principal value of cos−1`(-1/2)` is ______
`tan^-1(tan (7pi)/6)` = ______
Find the value of `cos^-1 (1/2) + tan^-1 (1/sqrt(3))`
Show that `sin^-1(3/5) + sin^-1(8/17) = cos^-1(36/85)`
Find the principal value of the following:
tan-1 (-1)
Prove that:
2 tan-1 (x) = `sin^-1 ((2x)/(1 + x^2))`
Show that `tan^-1 (1/2) + tan^-1 (2/11) = tan^-1 (3/4)`
Evaluate: sin`[1/2 cos^-1 (4/5)]`
Express `tan^-1 ((cos x - sin x)/(cos x + sin x))`, 0 < x < π in the simplest form.
A man standing directly opposite to one side of a road of width x meter views a circular shaped traffic green signal of diameter ‘a’ meter on the other side of the road. The bottom of the green signal Is ‘b’ meter height from the horizontal level of viewer’s eye. If ‘a’ denotes the angle subtended by the diameter of the green signal at the viewer’s eye, then prove that α = `tan^-1 (("a" + "b")/x) - tan^-1 ("b"/x)`
Choose the correct alternative:
cos 2θ cos 2ϕ+ sin2 (θ – ϕ) – sin2 (θ + ϕ) is equal to
The principle solutions of equation tan θ = -1 are ______
If `sin^-1(x/13) + cosec^-1(13/12) = pi/2`, then the value of x is ______
If sin `(sin^-1 1/3 + cos^-1 x) = 1`, then the value of x is ______.
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 `tan^-1x + tan^-1y = (4pi)/5`, then `cot^-1x + cot^-1y` equals ______.
`(sin^-1(-1/2) + tan^-1(-1/sqrt(3)))/(sec^-1 (-2/sqrt(3)) + cos^-1(1/sqrt(2))` = ______.
The domain of the function y = sin–1 (– x2) is ______.
The domain of the function defined by f(x) = sin–1x + cosx is ______.
If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to ____________.
`"sin"^-1 (-1/2)`
`"sin"^-1 (1 - "x") - 2 "sin"^-1 "x" = pi/2`
`"sin" ["cot"^-1 {"cos" ("tan"^-1 "x")}] =` ____________.
The range of sin-1 x + cos-1 x + tan-1 x is ____________.
Find the value of sec2 (tan-1 2) + cosec2 (cot-1 3) ____________.
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:
`2"tan"^-1 ("cos x") = "tan"^-1 (2 "cosec x")`
`"cos"^-1 ("cos" ((7pi)/6))` is equal to ____________.
If A = `[(cosx, sinx),(-sinx, cosx)]`, then A1 A–1 is
If |Z1| = |Z2| and arg (Z1) + arg (Z2) = 0, then
The inverse of `f(x) = sqrt(3x^2 - 4x + 5)` is
If `(-1)/sqrt(2) ≤ x ≤ 1/sqrt(2)` then `sin^-1 (2xsqrt(1 - x^2))` is equal to
What is the principal value of cosec–1(2).
Find the value, if sin–1x = y, then `->`:-
what is the value of `cos^-1 (cos (13pi)/6)`
If f(x) = x5 + 2x – 3, then (f–1)1 (–3) = ______.
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)
cos–1(cos10) is equal to ______.
`cot^-1(sqrt(cos α)) - tan^-1 (sqrt(cos α))` = x, then sin x = ______.
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
The value of cos (2cos–1 x + sin–1 x) at x = `1/5` 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 cos–1 x > sin–1 x, then ______.
Find the value of `cos(x/2)`, if tan x = `5/12` and x lies in third quadrant.
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
