diff --git a/frontend/js/labs/trigcircle.js b/frontend/js/labs/trigcircle.js
index 8d7db74..01da2e4 100644
--- a/frontend/js/labs/trigcircle.js
+++ b/frontend/js/labs/trigcircle.js
@@ -105,6 +105,7 @@ class TrigCircleSim {
     if (window.LabFX) LabFX.particles.draw(c);
 
     c.restore();
+    this._ovClearUnused();
     this._fireUpdate();
   }
 
@@ -171,6 +172,51 @@ class TrigCircleSim {
     c.restore();
   }
 
+  /* ═══ KaTeX-оверлей: HTML-подписи поверх canvas (на canvas KaTeX не рисуется) ══════ */
+  _ov() {
+    if (this._ovEl === undefined) this._ovEl = (typeof document !== 'undefined' && document.getElementById) ? document.getElementById('trig-overlay') : null;
+    return this._ovEl;
+  }
+  /* key — стабильный id подписи; latex — LaTeX (дробь/корень → KaTeX, иначе текст);
+     x,y — CSS-px над canvas; anchor: c|l|r|t|b; boxed — тёмная плашка (для координат). */
+  _ovLabel(key, latex, x, y, color, anchor, boxed) {
+    const ov = this._ov(); if (!ov) return;
+    this._ovMap = this._ovMap || {};
+    this._ovUsed = this._ovUsed || {};
+    let rec = this._ovMap[key];
+    if (!rec) {
+      const el = document.createElement('div');
+      el.style.position = 'absolute'; el.style.whiteSpace = 'nowrap'; el.style.pointerEvents = 'none';
+      el.style.willChange = 'transform';
+      ov.appendChild(el);
+      rec = this._ovMap[key] = { el, last: null, boxed: null };
+    }
+    if (rec.last !== latex) {
+      const useK = /\\tfrac|\\sqrt|\\left|\\frac/.test(latex) && (typeof window !== 'undefined' && window.katex);
+      if (useK) rec.el.innerHTML = window.katex.renderToString(latex, { throwOnError: false, strict: false, displayMode: false });
+      else rec.el.textContent = latex;
+      rec.last = latex;
+    }
+    if (rec.boxed !== !!boxed) {
+      rec.el.style.cssText += boxed
+        ? ';background:rgba(12,12,22,0.82);border:1px solid rgba(155,93,229,0.3);border-radius:8px;padding:3px 9px'
+        : ';background:none;border:none;padding:0';
+      rec.boxed = !!boxed;
+    }
+    rec.el.style.color = color || '#fff';
+    const a = anchor || 'c';
+    const tr = a === 'r' ? 'translate(-100%,-50%)' : a === 'l' ? 'translate(0,-50%)'
+             : a === 't' ? 'translate(-50%,0)' : a === 'b' ? 'translate(-50%,-100%)' : 'translate(-50%,-50%)';
+    rec.el.style.transform = `translate(${x}px,${y}px) ${tr}`;
+    rec.el.style.display = '';
+    this._ovUsed[key] = true;
+  }
+  _ovClearUnused() {
+    if (!this._ovMap) return;
+    for (const k in this._ovMap) if (!(this._ovUsed && this._ovUsed[k])) this._ovMap[k].el.style.display = 'none';
+    this._ovUsed = {};
+  }
+
   goToAngle(rad) {
     this._animTarget = this._norm(rad);
     if (!this.animating) this._startAnim();
@@ -354,11 +400,10 @@ class TrigCircleSim {
       ag.addColorStop(1, _tcRgba(_TC.violet, 0.0));
       c.strokeStyle = ag; c.lineWidth = 2.5;
       c.beginPath(); c.arc(cx, cy, ar, 0, -a, true); c.stroke();
-      /* label */
-      const mid = a / 2, lr = ar + 18;
-      c.font = 'bold 12px Manrope,sans-serif'; c.fillStyle = _TC.violet;
-      c.textAlign = 'center'; c.textBaseline = 'middle';
-      c.fillText(this._radLbl(a), cx + lr * Math.cos(-mid), cy + lr * Math.sin(-mid));
+      /* label (KaTeX overlay: π-доля для табличных, иначе текст) */
+      const mid = a / 2, lr = ar + 20;
+      this._ovLabel('angle', _angleLatex(a) || this._radLbl(a),
+        cx + lr * Math.cos(-mid), cy + lr * Math.sin(-mid), _TC.violet, 'c');
     }
 
     /* ── radius ── */
@@ -452,9 +497,9 @@ class TrigCircleSim {
 
     /* ── axis value badges ── */
     if (this.showSin && Math.abs(sinA) > 0.04)
-      this._badge(c, cx - 12, py, this._fmt(sinA), _TC.sin, 'right', 'middle');
+      this._ovLabel('vsin', _latexVal(sinA), cx - 14, py, _TC.sin, 'r');
     if (this.showCos && Math.abs(cosA) > 0.04)
-      this._badge(c, projX, cy + 17, this._fmt(cosA), _TC.cos, 'center', 'top');
+      this._ovLabel('vcos', _latexVal(cosA), projX, cy + 20, _TC.cos, 't');
 
     /* ── main point ── */
     const ps = this._hover || this._drag ? 10 : 8;
@@ -470,8 +515,9 @@ class TrigCircleSim {
     c.strokeStyle = 'rgba(255,255,255,0.50)'; c.lineWidth = 2;
     c.beginPath(); c.arc(px, py, ps, 0, Math.PI*2); c.stroke();
 
-    /* ── coordinate tooltip ── */
-    this._tooltip(c, px, py, cosA, sinA);
+    /* ── coordinate tooltip (KaTeX overlay) ── */
+    this._ovLabel('coord', `\\left(${_latexVal(cosA)};\\ ${_latexVal(sinA)}\\right)`,
+      px + (cosA >= 0 ? 18 : -18), py + (sinA >= 0 ? -20 : 20), '#fff', cosA >= 0 ? 'l' : 'r', true);
 
     /* ── quadrant roman numeral ── */
     const qOff = r * 0.46;
@@ -751,17 +797,8 @@ class TrigCircleSim {
       c.shadowBlur = 0;
       c.fillStyle = 'rgba(255,255,255,0.7)';
       c.beginPath(); c.arc(mx, my, 2, 0, Math.PI*2); c.fill();
-      /* value badge */
-      const txt = this._fmt(curY);
-      c.font = 'bold 11px Manrope,sans-serif';
-      const tm = c.measureText(txt);
-      const bx2 = mx+10, by2 = my-22, bw2 = tm.width+14, bh2 = 20;
-      c.fillStyle='rgba(12,12,22,0.85)';
-      c.beginPath(); c.roundRect(bx2, by2-bh2/2, bw2, bh2, 6); c.fill();
-      c.strokeStyle = _tcRgba(col, 0.4); c.lineWidth = 1;
-      c.beginPath(); c.roundRect(bx2, by2-bh2/2, bw2, bh2, 6); c.stroke();
-      c.fillStyle = col; c.textAlign='left'; c.textBaseline='middle';
-      c.fillText(txt, bx2+7, by2);
+      /* value badge (KaTeX overlay) */
+      this._ovLabel('gval', _latexVal(curY), mx + 12, my - 20, col, 'l', true);
     }
 
     c.restore();
diff --git a/frontend/labs-bodies.html b/frontend/labs-bodies.html
index ed2a4a4..11b485f 100644
--- a/frontend/labs-bodies.html
+++ b/frontend/labs-bodies.html
@@ -655,8 +655,10 @@
           </div><!-- /.proj-panel -->
 
           <!-- canvas -->
-          <div class="proj-canvas-outer">
+          <div class="proj-canvas-outer" style="position:relative">
             <canvas id="trigcircle-canvas"></canvas>
+            <!-- KaTeX overlay: подписи значений/координат/угла над canvas -->
+            <div id="trig-overlay" style="position:absolute;inset:0;pointer-events:none;overflow:hidden;font-size:0.82rem"></div>
           </div>
 
         </div><!-- /.sim-body-wrap -->