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squaremeplz
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Homework Statement
[tex] e^x = \frac {k}{c}sin^2(y) [/tex] solving for t
i thought it was [tex] t=arcsin(\sqrt{\frac{ce^x}{k}}) [/tex]
but my calc is saying like the answer above + ln4*pi + pi.
[tex]y= arcsin(\sqrt{\frac{ce^x}{k}}))[/tex]squaremeplease said:Homework Statement
[tex] e^x = \frac {k}{c}sin^2(y) [/tex] solving for t
i thought it was [tex] t=arcsin(\sqrt{\frac{ce^x}{k}}) [/tex]
but my calc is saying like the answer above + ln4*pi + pi.
The equation E^x = k/c sin^2(x) represents the relationship between the exponential function and the sine function with a coefficient of k/c. It is a mathematical expression used to solve for the value of x.
To solve this equation, you can use logarithms or algebraic manipulation to isolate the variable x. You may also use a calculator to solve for the numerical value.
The possible solutions for this equation are all real numbers, as both the exponential and sine functions can take on any real value. However, depending on the values of k and c, the equation may have multiple or no solutions.
Yes, this equation can be solved using a graphing calculator by graphing both sides of the equation and finding the points of intersection. The x-value of the intersection point will be the solution to the equation.
This equation can be used in various scientific and mathematical fields to model exponential and sine relationships. For example, it can be used in population growth models, electrical circuit analysis, or even in predicting the behavior of waves.