trigonometric identities cbse class 12

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24 Terms

1
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sin(A+B)=

sinAcosB+cosAsinB

2
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sin(A-B)=

sinAcosB-cosAsinB

3
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cos (A + B) =

cosA cosB - sinA sinB

<p>cosA cosB - sinA sinB</p>
4
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tan (A+B)

tanA+tanB/1-tanAtanB

<p>tanA+tanB/1-tanAtanB</p>
5
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tan(A-B)=

tanA-tanB/1+tanAtanB

<p>tanA-tanB/1+tanAtanB</p>
6
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sin(2x) =

2(sinx)(cosx) = 2tanx/1+tan^2x

7
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cos(2x) =

cos^2x-sin^2x = 1-2sin^2x = 2cos^2x-1

<p>cos^2x-sin^2x = 1-2sin^2x = 2cos^2x-1</p>
8
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1-cos2x

2sin^2x

9
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1+cos2x

2cos^2x

10
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cos2x

1-tan^2x/1+tan^2x

11
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sin3x=

3sinx-4sin^3x

12
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cos3x=

4cos^3x-3cosx

13
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tan(3x)=

3tanx-tan^3x/1-3tan^2x

14
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sinC+sinD

2sin(c+d/2).cos(c-d/2)

15
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sinC - sinD

2cos(c+d/2).sin(c-d/2)

16
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cosC+cosD

2cos(C+D/2)cos(C-D/2)

17
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cosC-cosD

2sin(c+d/2).sin(d-c/2)

18
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2sinAcosB

sin(A+B)+sin(A-B)

19
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2cosAsinB

sin(A+B)-sin(A-B)

20
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2cosAcosB

cos(A+B)+cos(A-B)

21
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2sinAsinB

cos(A-B)-cos(A+B)

22
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sin^2x+cos^2x

=1

23
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tan^2x+1

sec^2x

24
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cot^2x+1

cosec^2x