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Q: What is the difference between Arcsin x and arcsin x?
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What is the integral of arcsinxdx?

The integral of arcsin(x) dx is x arcsin(x) + (1-x2)1/2 + C.


How do you solve cot parenthesis inverse of sin 4 over 7 closed parenthesis?

The inverse sin function I write as arcsin x. Make use of the trignometric relationships: cos2θ + sin2θ = 1 ⇒ cosθ = √(1 - sin2θ) cotθ = cosθ/sinθ = √(1 - (sinθ)2)/sinθ sin(arcsin x) = x Then: cot(arcsin(x)) = √(1 - (sin(arcsin(x))2)/sin(arcsin(x)) = √(1 - x2)/x ⇒ cot(arcsin(4/7)) = √(1 - (4/7)2)/(4/7) = √(49/72 - 16/72) ÷ 4/7 = √(49 - 16) x 1/7 x 7/4 = 1/4 x √33


How do you solve cot parenthesis sin to the negative 1 parenthesis 2 over 3 closed parenthesis and another closed parenthesis?

I presume that sin-1x is being used to represent the inverse sin function (I prefer arcsin x to avoid possible confusion). Make use of the trignometirc relationships: cos2θ + sin2θ = 1 ⇒ cosθ = √(1 - sin2θ) cotθ = cosθ/sinθ = √(1 - sin2θ)/sinθ sin(arcsin x) = x Then: cot(arcsin(x)) = √(1 - sin2(arcsin(x))/sin(arcsin(x)) = √(1 - x2)/x ⇒ cot(arcsin(2/3)) = √(1 - (2/3)2)/(2/3) = √(9/32 - 4/32) ÷ 2/3 = √(9 - 4) x 1/3 x 3/2 = 1/2 x √5


Does the notation of arcsin x represent the inverse function to sine?

NO FALSE


Arcsin x equals sin-1?

yes y=sinx is x=arcsiny


What is cot parenthesis sin to the negativde 1 parenthesis 2 over 3 closed parenthesis and another closed parenthesis?

If I read that correctly, you have: cot(sin-1(2/3)) which I understand to mean cot(arcsin(2/3)) which has the value 1/2 x √5 sin(arcsin(x)) = x cos2θ + sin2θ = 1 ⇒ cosθ = √(1 - sin2θ) cotθ = cosθ ÷ sinθ ⇒ cot(arcsin(2/3)) = cos(arcsin(2/3)) ÷ sin(arcsin(2/3) = √(1 - sin2(arcsin(2/3))) ÷ sin(arcsin(2/3) = √(1 - (2/3)2) ÷ (2/3) = 1/3 x √(9 - 4) x 3/2 = 1/2 x √5 As the reciprocal trignometric functions have separate names, eg 1/tan x = cot x, the use of the -1 "power" to indicate the inverse function is possible. However, to avoid any possible confusion, I prefer to use the arc- prefix to indicate the inverse function.


How do you solve 2 sin squared x minus sinx minus 1 is equal to 0?

2 sin(x)2 - sin(x) - 1 = 0 Let Y=sin(x) then the equation is 2*Y2 - Y - 1 =0 Delta = (-1 * -1) - 4 * 2 * -1 = 9 Y = (1 + sqrt(9)) / 4 or Y = (1 - sqrt(9)) / 4 Y = 1 or Y = -1/2 Then x = Arcsin(Y) and (in radians) x = Arcsin(1) = Pi/2 +2*k*Pi or x=Arcsin(-1/2) = -Pi/6 + 2*k*Pi where k is an integer


What is x if the sin of x equals square root of 5 divided by 2?

2.5


What is the integral of 1 divided by the square root of the quantity 1 minus the square of x with respect to x?

0


How do you answer the equation integral of x 1 over square root of 1-x2 dx?

This is solved by using substitution: Let x = sin θ → dx = cos θ dθ and √(1 - x²) = √(1 - sin² θ) = cos θ and θ = arcsin x → ∫ (x + 1)/√(1 - x²) dx = ∫ ((sin θ + 1)/ cos θ) cos θ dθ = ∫ sin θ + 1 dθ = -cos θ + θ + b = θ - cos θ + b = arcsin x - √(1 - x²) + c


How do you determine the radius or degrees of an arc knowing only the length and rise?

If the length is L, the rise is R and the angle is x degrees, then sin(x) = R/L so that x = arcsin(R/L) or sin-1(R/L)


What is the integral of f prime divided by the square root of the quantity a squared minus f squared with respect to x where f is a function of x and a is a constant?

∫ f'(x)/√(a2 - f(x)2) dx = arcsin(f(x)/a) + C C is the constant of integration.