Trigonometric Expressions AP Pre Calc

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22 Terms

1
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cos²x+sin²x=

1

2
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cos²x=

1-sin²x

3
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sin²x

1-cos²

4
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csc²x

1/sin²x

5
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sec²x

1/cos²x

6
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cot²x

1/tan²x

7
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csc²x=

1+cot²x

8
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cot²x

csc²x-1

9
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tan²x+1

sec²x

10
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tan²x

sec²x-1

11
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tanx=

sinx/cosx

12
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Sin(a+b)=

sin(a)+cos(b)+sin(b)+cos(a)

13
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sin(a-b)

Sin(a)+cos(b)-sin(b)+cos(a)

14
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cos(a+b)

cos(a)+cos(b)-sin(a)+sin(b)

15
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cos(a-b)

cos(a)+cos(b)+sin(a)+sin(b)

16
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sin(2a)

2sin(a)cos(a)

17
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cos(2a)

1-2sin²(x) or 2cos²x-1

18
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polar coordinates to rectangular coordinates

x= r cos(x)
y= r sin (x)

19
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rectangular to polar

r=√(x²+y²)
θ=tan-1(y/x)

20
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rectangular complex number to polar form

r=√(x²+y²)

θ=tan-1(y/x)

21
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rectangular complex numbers to polar form

x=r cos(x)
y=r sin(x)

22
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