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Popular Trigonometry >

solvefor C,arctan((1/(2*pi*R*C))/f)=0

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Solution

solvefor

Solution

NoSolutionforC∈R
Solution steps
arctan(f2πRC1​​)=0
Apply trig inverse properties
arctan(f2πRC1​​)=0
arctan(x)=a⇒x=tan(a)f2πRC1​​=tan(0)
tan(0)=0
tan(0)
Use the following trivial identity:tan(0)=0
tan(0)
tan(x) periodicity table with πn cycle:
x06π​4π​3π​2π​32π​43π​65π​​tan(x)033​​13​±∞−3​−1−33​​​​
=0
=0
f2πRC1​​=0
f2πRC1​​=0
Solve f2πRC1​​=0:No Solution for C∈R
f2πRC1​​=0
Simplify f2πRC1​​:2πCRf1​
f2πRC1​​
Apply the fraction rule: acb​​=c⋅ab​=2πRCf1​
2πCRf1​=0
g(x)f(x)​=0⇒f(x)=01=0
The sides are not equal
NoSolutionforC∈R
NoSolutionforC∈R

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Popular Examples

sin(x)=-2cos(x)3sin^2(x)-4cos(x)+1=0sin(x)-cos(2x)-1=0sin^2(x)=sqrt(3)solvefor x,c^2=a^2+b^2-2ab*cos(x)

Frequently Asked Questions (FAQ)

  • What is the general solution for solvefor C,arctan((1/(2*pi*R*C))/f)=0 ?

    The general solution for solvefor C,arctan((1/(2*pi*R*C))/f)=0 is No Solution for C\in\mathbb{R}
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