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Tyrion101
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Is the first a squared version of the other? I understand the trig function involved if it's just (2x) and tan is not squared.
Use precise pure-text symbolism to remove all ambiguity. Using TEX would be better.Tyrion101 said:But is it equal to: (2tanx/1-tan^2x)^2 is what I'm asking. I may have been unclear.
Now I understand what you asked.Tyrion101 said:Is the first a squared version of the other? I understand the trig function involved if it's just (2x) and tan is not squared.
@Tyrion101, despite what others have said in this thread, yes, ##\tan^2(2x)## is the square of ##\tan(2x)##.Tyrion101 said:Is the first a squared version of the other? I understand the trig function involved if it's just (2x) and tan is not squared.
Yes and no. ##\tan^2(2x)## means ##[\tan(2x)]^2##, which in turn is equal to ## [\frac{2 \tan(x)}{1 - \tan^2(x)} ]^2##Tyrion101 said:But is it equal to: (2tanx/1-tan^2x)^2 is what I'm asking. I may have been unclear.
... and should be clear by now.Mark44 said:@Tyrion101, despite what others have said in this thread, yes, ##\tan^2(2x)## is the square of ##\tan(2x)##.Yes and no. ##\tan^2(2x)## means ##[\tan(2x)]^2##, which in turn is equal to ## [\frac{2 \tan(x)}{1 - \tan^2(x)} ]^2##
In what you wrote, you are missing parentheses around the quantity in the denominator, 1 - tan2(x). What you wrote is the same as ##\frac{2\tan(x)}{1} - \tan^2(x)##
It's other things too, like I'll do a problem 20 times only to find out that there is no sine2x at all. It's very frustrating. From what I understand from having gone to a school that helped dyslexic and add or adhd kids, it seems somewhat similar, but as you say Mark it might not be dyslexia related at all. Thanks for the link on math dyslexia I'd never heard of it before.Mark44 said:I'm not an expert on dyslexia or related problems, but if you misread 5β as 5/β, maybe you need glasses or contacts. That doesn't sound like dyslexia to me.
Also, before you get started working a problem, go back over the problem description to make sure that your first reading of it was correct.
The main difference between Tan^2(2x) and Tan(2x) is that Tan^2(2x) represents the square of the tangent of 2x, while Tan(2x) represents the tangent of 2x. In other words, Tan^2(2x) is equal to [Tan(2x)]^2.
To simplify Tan^2(2x), we can use the trigonometric identity Tan^2(x) = Sec^2(x) - 1. Therefore, Tan^2(2x) can be simplified to Sec^2(2x) - 1.
To graph Tan(2x), you can use a graphing calculator or plot points on a coordinate plane. The graph of Tan(2x) has a period of π and asymptotes at x = π/2 and x = -π/2. It also has a range of all real numbers.
The domain of Tan(2x) is all real numbers except for values that make the denominator 0. In other words, the domain of Tan(2x) is all real numbers except for x = π/2 + πn, where n is any integer.
To solve equations involving Tan(2x), you can use the inverse tangent function, Arctan(x). Use the trigonometric identity Tan(2x) = Sin(2x)/Cos(2x) to rewrite the equation in terms of Sin(2x) and Cos(2x). Then, take the inverse tangent of both sides to isolate x.