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Sobhan
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The answer to Cot(arc tan x)
Sobhan said:The answer to Cot(arc tan x)
Sobhan said:Cot(arc tan (x))?
Yes.Sobhan said:is it x^-1?
Sobhan said:I have reached a equation to express cot(x) by cot(2x) and it is not an easy one the equation is this (2cot(2x)+(-)(4cot(2x)^2+4)^0.5))×2^-1
Is this right?
Sorry BvU, I forgot all about your drawing further up. It could've saved me quite a bit of explaining in my last post if I just referred to your diagram.BvU said:Did you make a drawing again ?
It's definitely been a while since I've seen tg.Sobhan said:I got that from this : cot(2x)=0.5(cot(x)-tg(x))
The equation is a trigonometric equation that involves the functions cotangent (cot) and tangent (tg). The left side of the equation is cot(2x) and the right side is 0.5(cot(x)-tg(x)).
The solution to this equation is not a single value, but rather a set of values for x that satisfy the equation. These values can be found by solving the equation algebraically or graphically.
To solve this equation, you can use algebraic methods such as factoring, substitution, or simplifying the equation. You can also use graphical methods by plotting the two sides of the equation on a graph and finding the intersection points.
Yes, the equation can have multiple solutions. This is because cotangent and tangent are periodic functions, meaning they repeat their values after certain intervals. Therefore, the equation may have infinitely many solutions depending on the range of x.
Yes, there are restrictions on the values of x in this equation. Since cotangent and tangent functions are undefined at certain values (e.g. cot(90°) and tg(90°)), the values of x must not make the denominators in the equation equal to zero. Additionally, the equation may have a restricted domain based on the context of the problem it is being used for.