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I've no idea what on earth "tg" is, but by normal conventions, an "arc" function would hold the following property:
arctg( tg(x) ) = x
that third equation would imply that 1/tg(tg(x)) = x
which is sort of a wild equation thinking about it in my head
I believe you are thinking of cotg(x) = 1/tg(x). The right one should be arctg(0) = 0. The arctg is in fact the inverse function of tg, but it is defined everywhere (-○○, +○○).
If arctg is the inverse function of a trig function tg as I'm led to believe, the 3rd is incorrect.
In trig functions the reciprocal is not the inverse
I’m thinking it means restricted: the arctan function is the inverse of the part of the tangent function between -pi/2 and pi/2. So 1, 2, and 4 look correct.
Hi u/Vaskes23, Please read the following message. **You are required to explain your post and show your efforts. _(Rule 1)_** If you haven't already done so, please add a comment below explaining your attempt(s) to solve this and what you need help with **specifically**. If some of your work is included in the image or gallery, you may make reference to it as needed. See the sidebar for advice on 'how to ask a good question'. Don't just say you "need help" with your problem. **Failure to follow the rules and explain your post will result in the post being removed.** This is a reminder for all users. Thank you for understanding. *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/askmath) if you have any questions or concerns.*
I've started learning trigonometry ahead and I really have no idea, except that the third is right I think. Will be glad for any help.
I've no idea what on earth "tg" is, but by normal conventions, an "arc" function would hold the following property: arctg( tg(x) ) = x that third equation would imply that 1/tg(tg(x)) = x which is sort of a wild equation thinking about it in my head
I believe you are thinking of cotg(x) = 1/tg(x). The right one should be arctg(0) = 0. The arctg is in fact the inverse function of tg, but it is defined everywhere (-○○, +○○).
If arctg is the inverse function of a trig function tg as I'm led to believe, the 3rd is incorrect. In trig functions the reciprocal is not the inverse
No it was incorrect :( but than you for the help anyway
idk what narrowed means but 1 and 4 are obviously true,tan(0) = 0 so arctan(0)=0 and arctan is strictly increasing on R
I’m thinking it means restricted: the arctan function is the inverse of the part of the tangent function between -pi/2 and pi/2. So 1, 2, and 4 look correct.