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Title: Trigonometric Identities (sin, cos, tan, csc, cot, sec)
Description: I'm a math major student and sharing my notes I got from my school. Hope you liked it! Thank you.
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Trigonometric Identities
I
...
) π‘ π‘–π‘›πœƒ =
2
...
) π‘‘π‘Žπ‘›πœƒ =
4
...
) π‘ π‘’π‘πœƒ =
6
...


1
π‘π‘ π‘πœƒ
1
π‘ π‘’π‘πœƒ
1
π‘π‘œπ‘‘πœƒ
1
π‘ π‘–π‘›πœƒ
1
π‘π‘œπ‘ πœƒ
1
π‘‘π‘Žπ‘›πœƒ

Product of Reciprocal Identities

7
...
π‘ π‘’π‘πœƒ = 1
9
...


Ratio Identities

10
...
)

π‘π‘œπ‘‘πœƒ =

IV
...
)

𝑠𝑖𝑛2 πœƒ + π‘π‘œπ‘  2 πœƒ = 1

13
...
)

π‘π‘œπ‘  2 πœƒ = 1 βˆ’ 𝑠𝑖𝑛2 πœƒ

15
...
)

π‘π‘œπ‘‘ 2 πœƒ = 𝑐𝑠𝑐 2 πœƒ βˆ’ 1

17
...
)

π‘‘π‘Žπ‘›2 πœƒ + 1 = 𝑠𝑒𝑐 2 πœƒ

19
...
)

𝑠𝑒𝑐 2 πœƒ βˆ’ π‘‘π‘Žπ‘›2 πœƒ = 1

2

V
...
)

π‘π‘œπ‘ (𝛼 + 𝛽) = cos 𝛼
...
sin 𝛽

22
...
cos 𝛽 + cos 𝛼
...
)

π‘‘π‘Žπ‘›(𝛼 + 𝛽) =

24
...
cos 𝛽 + sin 𝛼
...
)

𝑠𝑖𝑛(𝛼 βˆ’ 𝛽) = sin 𝛼
...
sin 𝛽

26
...


tan 𝛼 + tan 𝛽
1βˆ’tan 𝛼
...
tan 𝛽

Double the Angle Formula

27
...
)

𝑠𝑖𝑛2 πœƒ = 2 π‘ π‘–π‘›πœƒ
...
)

π‘‘π‘Žπ‘›2 πœƒ =

2 π‘‘π‘Žπ‘›πœƒ
1βˆ’π‘‘π‘Žπ‘›2 πœƒ

3

VII
...
)

π‘π‘œπ‘ 2πœƒ = √

31
...
)

π‘‘π‘Žπ‘›2πœƒ = √

2

1βˆ’π‘π‘œπ‘ πœƒ
2

1βˆ’π‘π‘œπ‘ πœƒ
1+π‘π‘œπ‘ πœƒ

4

Title: Trigonometric Identities (sin, cos, tan, csc, cot, sec)
Description: I'm a math major student and sharing my notes I got from my school. Hope you liked it! Thank you.
Buy These NotesPreview