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空白单位圆

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空白单位圆

我想修改以下代码，使角度（度和弧度）以及坐标为空白。我尝试更改部分代码，但不知道是否有更简单的方法。

% Unit circle
% Author: Supreme Aryal
% A unit circle with cosine and sine values for some
% common angles.
\documentclass[landscape]{article}
\usepackage{tikz}
\usepackage[top=1in,bottom=1in,right=1in,left=1in]{geometry}
\begin{document}
    \begin{tikzpicture}[scale=5.3,cap=round,>=latex]
     \draw[->] (-1.5cm,0cm) -- (1.5cm,0cm) node[right,fill=white] {$x$};
             \draw[->] (0cm,-1.5cm) -- (0cm,1.5cm) node[above,fill=white] {$y$};

        % draw the unit circle
        \draw[thick] (0cm,0cm) circle(1cm);

        \foreach \x in {0,30,...,360} {
                % lines from center to point
                \draw[gray] (0cm,0cm) -- (\x:1cm);
                % dots at each point
                \filldraw[black] (\x:1cm) circle(0.4pt);
                % draw each angle in degrees
                \draw (\x:0.6cm) node[fill=white] {$\x^\circ$};
        }

        % draw each angle in radians
        \foreach \x/\xtext in {
            30/\frac{\pi}{6},
            45/\frac{\pi}{4},
            60/\frac{\pi}{3},
            90/\rule{.5in}{.5pt},
            120/\frac{2\pi}{3},
            135/\frac{3\pi}{4},
            150/\frac{5\pi}{6},
            180/\pi,
            210/\frac{7\pi}{6},
            225/\frac{5\pi}{4},
            240/\frac{4\pi}{3},
            270/\frac{3\pi}{2},
            300/\frac{5\pi}{3},
            315/\frac{7\pi}{4},
            330/\frac{11\pi}{6},
            360/2\pi}
                \draw (\x:0.85cm) node[fill=white] {$\xtext$};

        \foreach \x/\xtext/\y in {
            % the coordinates for the first quadrant
            30/\frac{\sqrt{3}}{2}/\frac{1}{2},
            45/\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2},
            60/\frac{1}{2}/\frac{\sqrt{3}}{2},
            % the coordinates for the second quadrant
            150/-\frac{\sqrt{3}}{2}/\frac{1}{2},
            135/-\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2},
            120/-\frac{1}{2}/\frac{\sqrt{3}}{2},
            % the coordinates for the third quadrant
            210/-\frac{\sqrt{3}}{2}/-\frac{1}{2},
            225/-\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2},
            240/-\frac{1}{2}/-\frac{\sqrt{3}}{2},
            % the coordinates for the fourth quadrant
            330/\frac{\sqrt{3}}{2}/-\frac{1}{2},
            315/\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2},
            300/\frac{1}{2}/-\frac{\sqrt{3}}{2}}
                \draw (\x:1.25cm) node[fill=white] {$\left(\xtext,\y\right)$};

        % draw the horizontal and vertical coordinates
        % the placement is better this way
        \draw (-1.25cm,0cm) node[above=1pt] {\(\big(\rule{.25in}{1pt},\rule{.25in}{1pt}\big)\)};
              (1.25cm,0cm)  node[above=1pt] {}
              (0cm,-1.25cm) node[fill=white] {};
              (0cm,1.25cm)  node[fill=white] {\(\big(\rule{.25in}{1pt},\rule{.25in}{1pt}\big)\)};
    \end{tikzpicture}
\end{document}

任何帮助都将不胜感激。感谢您的时间

答案1

嗯，像这样吗？

在此处输入图片描述

为此，您只需向text=white所有循环中的节点添加选项：

node[fill=white, text=white]

顺便问一下，您可以添加您的代码源吗？

附录（改进）： 我将制作框架节点、简化（我的）代码和页面中心图像：

\documentclass[landscape]{article}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\usepackage[margin=1in]{geometry}
%---------------- show page layout. don't use in a real document!
\usepackage{showframe}
\renewcommand\ShowFrameLinethickness{0.15pt}
\renewcommand*\ShowFrameColor{\color{red}}
%---------------------------------------------------------------%

\begin{document}
\begin{table}[p]
\centering
    \begin{tikzpicture}[scale=5.5,
                        >={Stealth[scale=2]},
lbl/.append style = {draw=#1, fill=white, font=\large, text=white, 
                     minimum height=3ex, inner xsep=5pt, inner ysep=2pt}
                ]
\draw[->] (-1.5cm,0cm) -- (1.5cm,0cm) node[right,font=\Large] {$x$};
\draw[->] (0cm,-1.4cm) -- (0cm,1.4cm) node[above,font=\Large] {$y$};

% draw the unit circle
\draw[thick] (0cm,0cm) circle(1cm);

% draw angle in degrees and radians, draw x and y vale
\foreach \id/\ir/\x/\y in {
    30/\frac{\pi}{6}/\frac{1}{2} /\frac{\sqrt{3}}{2},
    45/\frac{\pi}{4}/\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2},
    60/\frac{\pi}{3}/\frac{1}{2} /\frac{\sqrt{3}}{2},
    90/\frac{\pi}{2}/0/1,
    120/\frac{2\pi}{3}/-\frac{1}{2}/\frac{\sqrt{3}}{2},
    135/\frac{3\pi}{4}/-\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2},
    150/\frac{5\pi}{6}/-\frac{\sqrt{3}}{2}/\frac{1}{2},
    180/\pi/-1/0,
    210/\frac{7\pi}{6}/-\frac{\sqrt{3}}{2}/-\frac{1}{2},
    225/\frac{5\pi}{4}/-\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2},
    240/\frac{4\pi}{3}/-\frac{1}{2}/-\frac{\sqrt{3}}{2},
    270/\frac{3\pi}{2},
    300/\frac{5\pi}{3}/\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2},
    315/\frac{7\pi}{4}/\frac{1}{2}/-\frac{\sqrt{3}}{2},
    330/\frac{11\pi}{6}/\frac{\sqrt{3}}{2}/-\frac{1}{2},
    360/2\pi/1/0
    }
\draw (0,0) -- ++ (\id:6mm)     node[lbl=red]   {$\id$} 
            -- ++ (\id:2.2mm)   node[lbl=blue]  {$\ir$} 
            -- ++ (\id:4mm)     node[lbl=teal]  {$\left(\x,\y\right)$} ;
    \end{tikzpicture}
\end{table}
\end{document}

在此处输入图片描述

（红线表示页面布局）

答案2

我采纳了 @zarko 的想法，用白色填充文本。然后我添加了 45 度线段来完成圆。我不得不分解整个代码来查看它的作用，以便进行更改：

\documentclass[landscape]{article}
\usepackage{tikz}
\usepackage[top=1in,bottom=1in,right=1in,left=1in]{geometry}
\begin{document}

\begin{tikzpicture}[scale=5.3,cap=round,>=latex]
     \draw[->] (-1.5cm,0cm) -- (1.5cm,0cm) node[right,fill=white] {$x$};
             \draw[->] (0cm,-1.5cm) -- (0cm,1.5cm) node[above,fill=white] {$y$};

        % draw the unit circle
        \draw[thick] (0cm,0cm) circle(1cm); 
            \foreach \x in {0,30,...,360} {
                \draw[gray] (0cm,0cm) -- (\x:1cm);
                \draw (\x:0.6cm) node[fill=white,text=white] {$\x^\circ$};
                 \filldraw[black] (\x:1cm) circle(0.5pt);}
                    \filldraw[black] (\x:1cm) circle(0.4pt);
            
            \foreach \x in {45,135,...,360} {
                \draw[gray] (0cm,0cm)--(\x:1cm);
                \filldraw[black] (\x:1cm) circle(0.5pt);
                \draw (\x:0.6cm) node[fill=white,text=white] {$\x^\circ$};}

            \foreach \x/\xtext in {
            30/\frac{\pi}{6},
            45/\frac{\pi}{4},
            60/\frac{\pi}{3},
            90/\frac{\pi}{2},
            120/\frac{2\pi}{3},
            135/\frac{3\pi}{4},
            150/\frac{5\pi}{6},
            180/\pi,
            210/\frac{7\pi}{6},
            225/\frac{5\pi}{4},
            240/\frac{4\pi}{3},
            270/\frac{3\pi}{2},
            300/\frac{5\pi}{3},
            315/\frac{7\pi}{4},
            330/\frac{11\pi}{6},
            360/2\pi}
                \draw (\x:0.85cm) node[fill=white,text=white] {$\xtext$};

        \foreach \x/\xtext/\y in {
            % the coordinates for the first quadrant
            30/\frac{\sqrt{3}}{2}/\frac{1}{2},
            45/\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2},
            60/\frac{1}{2}/\frac{\sqrt{3}}{2},
            % the coordinates for the second quadrant
            150/-\frac{\sqrt{3}}{2}/\frac{1}{2},
            135/-\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2},
            120/-\frac{1}{2}/\frac{\sqrt{3}}{2},
            % the coordinates for the third quadrant
            210/-\frac{\sqrt{3}}{2}/-\frac{1}{2},
            225/-\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2},
            240/-\frac{1}{2}/-\frac{\sqrt{3}}{2},
            % the coordinates for the fourth quadrant
            330/\frac{\sqrt{3}}{2}/-\frac{1}{2},
            315/\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2},
            300/\frac{1}{2}/-\frac{\sqrt{3}}{2}}
                \draw (\x:1.25cm) node[fill=white] 
                {$\Big(\rule{.25in}{.25pt},\rule{.25in}{.25pt}\Big)$};

        % draw the horizontal and vertical coordinates
        % the placement is better this way
        \draw (-1.25cm,0cm) node[above=1pt] {$(-1,0)$}
              (1.25cm,0cm)  node[above=1pt] {$(1,0)$}
              (0cm,-1.25cm) node[fill=white] {$(0,-1)$}
              (0cm,1.25cm)  node[fill=white] {$(0,1)$};
     
    \end{tikzpicture}
\end{document}
   

        % draw each angle in radians
        \foreach \x/\xtext in {
            30/\frac{\pi}{6},
            45/\frac{\pi}{4},
            60/\frac{\pi}{3},
            90/\rule{.5in}{.5pt},
            120/\frac{2\pi}{3},
            135/\frac{3\pi}{4},
            150/\frac{5\pi}{6},
            180/\pi,
            210/\frac{7\pi}{6},
            225/\frac{5\pi}{4},
            240/\frac{4\pi}{3},
            270/\frac{3\pi}{2},
            300/\frac{5\pi}{3},
            315/\frac{7\pi}{4},
            330/\frac{11\pi}{6},
            360/2\pi}
                \draw (\x:0.85cm) node[fill=white] {$\xtext$};

        \foreach \x/\xtext/\y in {
            % the coordinates for the first quadrant
            30/\frac{\sqrt{3}}{2}/\frac{1}{2},
            45/\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2},
            60/\frac{1}{2}/\frac{\sqrt{3}}{2},
            % the coordinates for the second quadrant
            150/-\frac{\sqrt{3}}{2}/\frac{1}{2},
            135/-\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2},
            120/-\frac{1}{2}/\frac{\sqrt{3}}{2},
            % the coordinates for the third quadrant
            210/-\frac{\sqrt{3}}{2}/-\frac{1}{2},
            225/-\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2},
            240/-\frac{1}{2}/-\frac{\sqrt{3}}{2},
            % the coordinates for the fourth quadrant
            330/\frac{\sqrt{3}}{2}/-\frac{1}{2},
            315/\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2},
            300/\frac{1}{2}/-\frac{\sqrt{3}}{2}}
                \draw (\x:1.25cm) node[fill=white] {$\left(\xtext,\y\right)$};

        % draw the horizontal and vertical coordinates
        % the placement is better this way
        \draw (-1.25cm,0cm) node[above=1pt] {\(\big(\rule{.25in}{1pt},\rule{.25in}{1pt}\big)\)};
              (1.25cm,0cm)  node[above=1pt] {}
              (0cm,-1.25cm) node[fill=white] {};
              (0cm,1.25cm)  node[fill=white] {\(\big(\rule{.25in}{1pt},\rule{.25in}{1pt}\big)\)};

'''

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