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יש להשלים ערך זה: בערך זה חסר תוכן מהותי.
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הנכם מוזמנים להשלים את החלקים החסרים ולהסיר הודעה זו. שקלו ליצור כותרות לפרקים הדורשים השלמה, ולהעביר את התבנית אליהם.
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יש להשלים ערך זה: בערך זה חסר תוכן מהותי.
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הנכם מוזמנים להשלים את החלקים החסרים ולהסיר הודעה זו. שקלו ליצור כותרות לפרקים הדורשים השלמה, ולהעביר את התבנית אליהם.
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הקבועים הבסיסיים על מעגל היחידה הם כפולות של 30 ו45 מעלות.
ייצוג קבועים טריגונומטריים מדויקים על ידי ביטויים מתמטיים שימושי להמרת ביטויים טריגונומטריים לביטויים רדיקלים (ביטויים מהצורה
).
ערכי סינוס, קוסינוס וטנגנס של כפולות 3° ניתנים לפיתוח על ידי זהויות טריגונומטריות מתוך הערכים הידועים של 0°, 30° ו-45°.
הרשימה כאן אינה שלמה, כיוון שניתן להמשיך ולחלק כל זווית נתונה לזוויות קטנות ממנה.
רשימת קבועים
ערכים נוספים מחוץ לטווח הרשימה ניתן לחשב בקלות על ידי זהויות טריגונומטריות.
0°
מצולע בעל 60 צלעות - 3°
 |
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 |
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 |
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 |
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מצולע בעל 30 צלעות - 6°
 |
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 |
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 |
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 |
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מצולע בעל 20 צלעות - 9°
 |
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 |
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 |
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 |
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מצולע בעל 15 צלעות - 12°
 |
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 |
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 |
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 |
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מתורסר, מצולע בעל 12 צלעות - 15°
 |
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 |
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 |
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 |
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מעושר, מצולע בעל 10 צלעות - 18°
 |
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 |
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 |
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 |
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סכום זוויות: 9° + 12° = 21°
 |
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 |
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 |
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 |
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מתומן, מצולע בעל שמונה צלעות - 22.5°
 |
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 |
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 |
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 |
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סכום זוויות: 12° + 12° = 24°
 |
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 |
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 |
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 |
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סכום זוויות: 15° + 12° = 27°
 |
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 |
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 |
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 |
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משושה, מצולע בעל שש צלעות - 30°
 |
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 |
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 |
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 |
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סכום זוויות: 18° + 15° = 33°
 |
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 |
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 |
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 |
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מחומש, מצולע בעל חמש צלעות - 36°
 |
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 |
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 |
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 |
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סכום זוויות: 21° + 18° = 39°
 |
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 |
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 |
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 |
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סכום זוויות: 21° + 21° = 42°
 |
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 |
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 |
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 |
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ריבוע, מצולע בעל ארבע צלעות - 45°
משולש, מצולע בעל שלוש צלעות - 60°
קישורים חיצוניים
קבועים טריגונומטריים מדויקים29682459Q2533727