Special angle trig values

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Last updated 2:40 AM on 10/6/26
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48 Terms

1
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sin⁡(0)\sin\left(0\right)

00

2
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sin⁡(30\sin\left(30\right. or π6)\left.\frac{\pi}{6}\right)

12\frac12

3
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sin⁡(45\sin\left(45\right. or π4)\left.\frac{\pi}{4}\right)

22\frac{\sqrt2}{2}

4
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sin⁡(60\sin\left(60\right. or π3)\left.\frac{\pi}{3}\right)

32\frac{\sqrt3}{2}

5
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sin⁡(90\sin\left(90\right. or π2)\left.\frac{\pi}{2}\right)

11

6
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sin⁡(180\sin\left(180\right. or π)\left.\pi\right)

0

7
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sin⁡(270\sin\left(270\right. or 3π2)\left.\frac{3\pi}{2}\right)

−1-1

8
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sin⁡(360\sin\left(360\right. or 2π)\left.2\pi\right)

0

9
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cos⁡(0)\cos\left(0\right)

11

10
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cos⁡(30\cos\left(30\right. or π6)\left.\frac{\pi}{6}\right)

32\frac{\sqrt3}{2}

11
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cos⁡(45\cos\left(45\right. or π4)\left.\frac{\pi}{4}\right)

22\frac{\sqrt2}{2}

12
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cos⁡(60\cos\left(60\right. or π3)\left.\frac{\pi}{3}\right)

12\frac12

13
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cos⁡(90\cos\left(90\right. or π2)\left.\frac{\pi}{2}\right)

00

14
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cos⁡(180\cos\left(180\right. or π)\left.\pi\right)

−1-1

15
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cos⁡(270\cos\left(270\right. or 3π2)\left.\frac{3\pi}{2}\right)

00

16
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cos⁡(360\cos\left(360\right. or 2π)\left.2\pi\right)

11

17
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tan⁡(0)\tan\left(0\right)

00

18
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tan⁡(30\tan\left(30\right. or π6)\left.\frac{\pi}{6}\right)

33\frac{\sqrt3}{3}

19
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tan⁡(45\tan\left(45\right. or π4)\left.\frac{\pi}{4}\right)

11

20
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tan⁡(60\tan\left(60\right. or π3)\left.\frac{\pi}{3}\right)

3\sqrt3

21
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tan⁡(90\tan\left(90\right. or π2)\left.\frac{\pi}{2}\right)

undefined

22
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tan⁡(180\tan\left(180\right. or π)\left.\pi\right)

00

23
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tan⁡(270\tan\left(270\right. or 3π2)\left.\frac{3\pi}{2}\right)

undefined

24
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tan⁡(360\tan\left(360\right. or 2π)\left.2\pi\right)

00

25
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sec⁡(0)\sec\left(0\right)

11

26
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sec⁡(30\sec\left(30\right. or π6)\left.\frac{\pi}{6}\right)

233\frac{2\sqrt3}{3}

27
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sec⁡(45\sec\left(45\right. or π4)\left.\frac{\pi}{4}\right)

2\sqrt2

28
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sec⁡(60\sec\left(60\right. or π3)\left.\frac{\pi}{3}\right)

22

29
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sec⁡(90\sec\left(90\right. or π2)\left.\frac{\pi}{2}\right)

undefined

30
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sec⁡(180\sec\left(180\right. or π)\left.\pi\right)

−1-1

31
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sec⁡(270\sec\left(270\right. or 3π2)\left.\frac{3\pi}{2}\right)

undefined

32
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sec⁡(360\sec\left(360\right. or 2π)\left.2\pi\right)

11

33
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csc⁡(0)\csc\left(0\right)

undefined

34
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csc⁡(30\csc\left(30\right. or π6)\left.\frac{\pi}{6}\right)

22

35
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csc⁡(45\csc\left(45\right. or π4)\left.\frac{\pi}{4}\right)

2\sqrt2

36
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csc⁡(60\csc\left(60\right. or π3)\left.\frac{\pi}{3}\right)

233\frac{2\sqrt3}{3}

37
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csc⁡(90\csc\left(90\right. or π2)\left.\frac{\pi}{2}\right)

11

38
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csc⁡(180\csc\left(180\right. or π)\left.\pi\right)

undefined

39
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csc⁡(270\csc\left(270\right. or 3π2)\left.\frac{3\pi}{2}\right)

−1-1

40
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csc⁡(360\csc\left(360\right. or 2π)\left.2\pi\right)

undefined

41
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cot⁡(0)\cot\left(0\right)

undefined

42
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cot⁡(30\cot\left(30\right. or π6)\left.\frac{\pi}{6}\right)

3\sqrt3

43
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cot⁡(45\cot\left(45\right. or π4)\left.\frac{\pi}{4}\right)

11

44
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cot⁡(60\cot\left(60\right. or π3)\left.\frac{\pi}{3}\right)

233\frac{2\sqrt3}{3}

45
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cot⁡(90\cot\left(90\right. or π2)\left.\frac{\pi}{2}\right)

0

46
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cot⁡(180\cot\left(180\right. or π)\left.\pi\right)

undefined

47
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cot⁡(270\cot\left(270\right. or 3π2)\left.\frac{3\pi}{2}\right)

-1

48
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cot⁡(360\cot\left(360\right. or 2π)\left.2\pi\right)

undefined