When i have tan2x = 1 i get two angles

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In summary, when tan2x equals 1, the equation has two possible solutions for x, which are x=pi/4 and x=5pi/4. This is because tan2x has a period of pi, meaning it repeats itself every pi radians. Therefore, when tan2x=1, it is equivalent to tan2x=1+pi, tan2x=1+2pi, and so on, resulting in multiple solutions for x.
  • #1
Maria
When i have tan2x = 1 i get two angles: 22,5 and 205,5.
But I also get 112,5 and 292,5 why?
Why don`t I get just two? :rolleyes:
 
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  • #2
Don't open two threads on the same exercise in the future..
 
  • #3
sorry...I didn`t know
 

FAQ: When i have tan2x = 1 i get two angles

What does tan2x = 1 mean?

Tan2x = 1 is a mathematical equation that represents the tangent function of an angle, where the angle is twice the value of x, and it is equal to 1.

How many solutions does tan2x = 1 have?

Tan2x = 1 has two solutions, as indicated by the presence of the word "two" in the equation. This means that there are two angles that satisfy the equation.

How do I solve tan2x = 1?

To solve tan2x = 1, you can use the inverse tangent function (tan^-1) on both sides of the equation. This will give you two possible values for x, which can then be used to find the corresponding angles.

Why do I get two angles when I solve tan2x = 1?

This is because the tangent function is periodic, meaning it repeats itself after a certain interval. In this case, the interval is 180 degrees or π radians, so there are two angles that satisfy the equation within this interval.

Is there a special name for the two angles that satisfy tan2x = 1?

The two angles that satisfy tan2x = 1 are known as the principal solutions. These are the two angles within the interval of 180 degrees or π radians that give a solution to the equation.

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