Personal AI Trigonometry Tutor Online That Teaches the Method
Ask about an identity and the tutor asks you to place the angle on the unit circle first, because almost every trigonometry formula is readable off that diagram and almost none of them survive as a memorised list.
What is the AskSia AI trigonometry tutor?
The AskSia AI trigonometry tutor is a personal tutoring tool that derives identities from the unit circle rather than presenting them as a formula sheet. It hints at where the angle sits, walks the derivation when you ask, and puts a related angle back to you at the end. It covers right triangle ratios, the unit circle, radians, graphs and transformations, identities, equations, inverse functions and the sine and cosine rules. It answers in eight languages. Students on the AskSia A+ plan are covered by the Grade Confidence Guarantee. AskSia is a study aid, not an answer key.
如同真人導師的四個階段
解答出現時，解題工具就完成任務；當你能獨自解下一題，輔導才算完成。
給推進方向，而不是直接給解答
它指出卡住的步驟，再把問題交回給你走出下一步。
逐行說明，搭配圖解
需要更多協助時，它會逐行帶你走過解法，而不只告訴你最終結果。
它會反過來問你一題
在繼續之前，它會用一個簡短問題確認下一步是否真正屬於你。
稍後再回來複習
弱項會在更適合主動回憶、鞏固解題方法的時機再次出現。
考試還有三週
導師會刻意放慢節奏，為下一題留下可重複使用的解題方法。
每學期最容易失分的三個習慣
Trigonometry punishes memorisation more than any other school level maths topic. These three are where the marks go.
Treating identities as a list to memorise
A memorised sheet fails the moment the question needs a rearranged version. The tutor derives each identity from the unit circle so you can rebuild it under pressure.
Losing solutions when solving equations
Dividing both sides by a trigonometric term deletes valid solutions silently. The tutor asks whether that term could be zero before any division.
Ignoring the ambiguous case in the sine rule
Two triangles can satisfy the same data, and answering with one loses the question. The tutor asks whether the given angle is opposite the longer side.
不是題庫，而是從你的錯誤建立的測驗
Your marks are not lost evenly, so your practice is not spread evenly. Try this one.
這位導師涵蓋的內容
From right triangle ratios through to the identities and equations that later courses assume are automatic.
Heading into calculus? Trigonometric derivatives and integrals assume all of this is automatic. Still building the algebra underneath?
Four things a maths tutor does that a chat box does not
它了解你的學習歷程，不只是一個問題
下一次輔導會從你真正感到困難的步驟開始，而不是泛泛地重講整個主題。
它會畫出圖解，不只列出代數式
圖解會帶著標記與解題過程的每一步並列呈現，因為視覺化推理本身也能得到分數。
它會找出你自己解題過程中的第一行錯誤
拍下做錯的嘗試，它會找到解法最早偏離的步驟，接著講清這一步。
它依照你的課程方式檢驗理解
長答題需要依照你自己試卷的格式練習，而不是套用選擇題題庫。
Why the formula sheet is the problem
Students who memorise identities can reproduce them and cannot rearrange them, which is what exam questions actually require. The tutor derives each one from the unit circle, so the sheet becomes something you can rebuild rather than something you can lose.
Personal here means it remembers which move keeps failing. If your identities are solid but you lose roots whenever you divide, that is tracked separately and practice returns to it.
It tutors in English, German, Japanese, Korean, Spanish, Portuguese, Simplified Chinese and Traditional Chinese.
學生真正會問的問題
Does it just give me the identity?
No. It asks where the angle sits on the unit circle and derives the identity with you. Each walkthrough ends with a related angle put back to you. You can request the formula at any point, but it will not lead with it.
Can it help me stop losing solutions?
Yes, and this is the most requested topic. The habit it teaches is to factorise rather than divide, and it checks that habit in your own working.
Does it cover radians properly?
Yes, including why later courses use them exclusively, which makes the conversion feel less arbitrary.
Can I photograph handwritten working?
Yes, including crossings out, and it marks the earliest line where the working broke.
Does it cover the ambiguous case?
Yes. It asks about the relationship between the given angle and the sides before any rule is applied, which is what surfaces the second triangle.
Is using an AI trigonometry tutor allowed?
AskSia is built as a study aid, not an answer key. Check your own institution's policy before using any tool on graded work.
全部 149 位 AskSia 導師
每個學科都採用同一種方式：針對你卡住的步驟給出提示，結合你自己的課程資料講解，最後再向你拋回一個問題。
數學和統計學
15從代數到微積分，也提供面對截止日的作業協助。
科學
11物理、化學與生命科學的導師頁面和作業協助。
計算和數據
22涵蓋主要程式語言，以及課程實際使用的理論、資料與工具。
工程
8從靜力學到流體力學，並提供應用課程作業頁面。
商業和經濟
9會計、金融與經濟，搭配圖表及財務報表。
人文與寫作
13協助檢閱草稿而非代寫的人文與寫作科目。
語言
16提供附規則的修正，以及目標語言的對話練習。
AP課程
20依照內容與評分規準共同設計。
考試和認證
11以實際評分格式練習證照與入學考試。
健康相關課程
7結合每個選項的理據，協助課程與執照準備。
學習支持
9當你需要重整整份行程，或今晚就要面對截止日。
比較學習工具
8比較各工具的強項，以及它們無法處理的範圍。
