Texas A&M MATH 152: Trig Identities

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19 Terms

1
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½(1 - cos(2x))

sin²(x)

2
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½(1 + cos(2x))

cos²(x)

3
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2sin(x)cos(x)

sin(2x)

4
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1

sin²(x) + cos²(x)

5
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sec²(x)

tan²x + 1

6
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½(sin(A - B) + sin(A + B))

sin(A)cos(B)

7
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½(cos(A - B) - cos(A + B))

sin(A)sin(B)

8
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½(cos(A - B) + cos(A + B))

cos(A)cos(B)

9
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ln|sec(x) + tan(x)| + C

∫sec(x) dx

10
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ln|csc(x) - cot(x)| + C

∫csc(x) dx

11
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½(sec(x)tan(x) + ln|sec(x) + tan(x)|) + C

∫sec³(x) dx

12
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½(-csc(x)cot(x) + ln|csc(x) - cot(x)|) + C

∫csc³(x) dx

13
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½tan²(x) + ln|cos(x)| + C

∫tan³(x) dx

14
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cos(x)

Derivative of sin(x)

15
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-sin(x)

Derivative of cos(x)

16
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sec²(x)

Derivative of tan(x)

17
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tan(x)sec(x)

Derivative of sec(x)

18
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-cot(x)csc(x)

Derivative of csc(x)

19
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-csc²(x)

Derivative of cot(x)