Calc2 trig identities

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Last updated 5:25 AM on 1/22/26
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15 Terms

1
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1+tan2(x)1 + \tan^2(x)

sec2(x)\sec^2(x)

2
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1+cot2(x)1 + \cot^2(x)

csc2(x)\csc^2(x)

3
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sin(A±B)\sin(A \pm B)

sin(A)cos(B)±cos(A)sin(B)\sin(A)\cos(B) \pm \cos(A)\sin(B)

4
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cos(A±B)\cos(A \pm B)

cos(A)cos(B)sin(A)sin(B)\cos(A)\cos(B) \mp \sin(A)\sin(B)

5
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tan(A±B)\tan(A \pm B)

tan(A)±tan(B)1tan(A)tan(B)\frac{\tan(A) \pm \tan(B)}{1 \mp \tan(A)\tan(B)}

6
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sin(2x)\sin(2x)

2sin(x)cos(x)2\sin(x)\cos(x)

7
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tan(2x)\tan(2x)

2tan(x)1tan2(x)\frac{2\tan(x)}{1 - \tan^2(x)}

8
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sin(x/2)\sin(x/2)

±1cos(x)2\pm\sqrt{\frac{1-\cos(x)}{2}}

9
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cos(x/2)\cos(x/2)

±1+cos(x)2\pm\sqrt{\frac{1+\cos(x)}{2}}

10
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11
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ddx[cot(x)]\frac{d}{dx}[\cot(x)]

csc2(x)-\csc^2(x)

12
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ddx[csc(x)]\frac{d}{dx}[\csc(x)]

csc(x)cot(x)-\csc(x)\cot(x)

13
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ddx[sec(x)]\frac{d}{dx}[\sec(x)]

sec(x)tan(x)\sec(x)\tan(x)

14
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sec(x)dx\int\sec(x)dx

lnsec(x)+tan(x)+C\ln|\sec(x) + \tan(x)| + C

15
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csc(x)dx\int\csc(x)dx

lncsc(x)+cot(x)+C-\ln|\csc(x) + \cot(x)| + C