if sqrt(y)=(arctan)tan-1(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2

Now we prove Machin's formula using the tangent addition formula:tan(A+B)= tanA+tanB/1-tanAtanB. If A= arctan(120/119) and B=
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For the transformation w=(z+i)/(z-i)show that as z moves along the real axis, w moves along a circle centre O and radius 1 I do
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1.Evaluate: (1/(x*sqrt(x^2-4))I know the answer is -1/2*arctan(2/sqrt(x^2-4)), but I am having trouble getting to this answer on
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Let f be a function defined by f(x)= arctan x/2 + arctan x. the value of f'(0) is?It's 3/2 but I am not very clear on how to
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2. asked by Jamie
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if sqrt(y)=(arctan)tan-1(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2
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2. asked by NGOFAKA
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if sqrt(y)=arctan(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2
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I'm unsure how to even start this problemSolve for x: Arctan( -4/5 ) + Arcos (2/SQRT(5) ) = Arctan(x)
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2. asked by Kate
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Pls help solve this problemif sqrt(y)=(arctan)tan-1(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2
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2. asked by NGOFAKA
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Evaluate the integral (3x+4)/[(x^2+4)(3-x)]dxa. (1/2)ln(x^2+4) + ln|3-x| + C b. (1/2)arctan(x/2) + ln|3-x| + C c.
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The values of x that are solutions to the equation cos^(2)x=sin2x in the interval [0, pi] area. arctan(1/2) only b. arctan(1/2)
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