# Core 1-4 Trigonometry Notes

These are notes that I have made myself, covering all the Trigonometry needed in C1, C2, C3, and C4. My exam board is Edexcel, but all the things included in here are transferable to the other exam boards.

Formulas to remember have been highlighted, and there are also derivations for some of the things necessary to know.

Topics covered are; Basic Trigonometric Ratios (circular functions), Sine Rule, Cosine Rule, Inverse Trigonometric Functions,  Pythagorus' Theorem, Reciprocal Functions, Pythagorean Identities, Compound Angle Formulae, Double Angle Formulae, R-alpha method, Half-Angle Formulae, and Factor Formulae.

THERE ARE NO WORKED THROUGH EXAMPLE QUESTIONS, ALTHOUGH THE R-ALPHA METHOD HAS BEEN WORKED THROUGH ALGREBRAICALLY.

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## Pages in this set

### Page 1

Trigonometry Notes

C1, C2, C3 and C4 Notes and Formulas
Trigonometric Identities

Basic Trigonometric Ratios: sin = O A O
H cos = H tan = A

where O is the side Opposite angle ; A is the side Adjacent to angle ; and H is the Hypotenuse
(the side…

### Page 2

Trigonometry Notes

Sine Rule:
The sine rule is defined as follows;
A = sinB C sinA = sinB sinC
sin A B = sin C or A B = C

It is used to describe the relationship between the three angles in any triangle, and their opposing
sides, although if…

### Page 3

Trigonometry Notes

Compound Angle Formulae:

sin (A + B) = sin A cos B + cos A sin B or sin (A - B) = sin A cos B - cos A sin B

For the sine compound angles, the operation sign in between A and B is the same…

### Page 4

Trigonometry Notes

R- Formulae and Method:
Expressions in the form asin ±bcos or acos ±bsin can be expressed in the forms
Rsin (±) or Rcos (±) respectively as follows;

asin ±bcos Rsin (±) , with R > 0 , and 0 < < 90° (or 2rad)
acos ±bsin Rcos (±)…

### Page 5

Trigonometry Notes

Factor Formulae:
These formulae are useful in to help put an equation involving sines or cosines multiplying by either
themselves or each other into an easier form to integrate. Here they are;
sin P + sin Q 2sin (P + Q P -Q
2 ) cos ( 2…

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# Core 1-4 Trigonometry Notes

These are notes that I have made myself, covering all the Trigonometry needed in C1, C2, C3, and C4. My exam board is Edexcel, but all the things included in here are transferable to the other exam boards.

Formulas to remember have been highlighted, and there are also derivations for some of the things necessary to know.

Topics covered are; Basic Trigonometric Ratios (circular functions), Sine Rule, Cosine Rule, Inverse Trigonometric Functions,  Pythagorus' Theorem, Reciprocal Functions, Pythagorean Identities, Compound Angle Formulae, Double Angle Formulae, R-alpha method, Half-Angle Formulae, and Factor Formulae.

THERE ARE NO WORKED THROUGH EXAMPLE QUESTIONS, ALTHOUGH THE R-ALPHA METHOD HAS BEEN WORKED THROUGH ALGREBRAICALLY.

Word Document 31.85 Kb

## Pages in this set

### Page 1

Trigonometry Notes

C1, C2, C3 and C4 Notes and Formulas
Trigonometric Identities

Basic Trigonometric Ratios: sin = O A O
H cos = H tan = A

where O is the side Opposite angle ; A is the side Adjacent to angle ; and H is the Hypotenuse
(the side…

### Page 2

Trigonometry Notes

Sine Rule:
The sine rule is defined as follows;
A = sinB C sinA = sinB sinC
sin A B = sin C or A B = C

It is used to describe the relationship between the three angles in any triangle, and their opposing
sides, although if…

### Page 3

Trigonometry Notes

Compound Angle Formulae:

sin (A + B) = sin A cos B + cos A sin B or sin (A - B) = sin A cos B - cos A sin B

For the sine compound angles, the operation sign in between A and B is the same…

### Page 4

Trigonometry Notes

R- Formulae and Method:
Expressions in the form asin ±bcos or acos ±bsin can be expressed in the forms
Rsin (±) or Rcos (±) respectively as follows;

asin ±bcos Rsin (±) , with R > 0 , and 0 < < 90° (or 2rad)
acos ±bsin Rcos (±)…

### Page 5

Trigonometry Notes

Factor Formulae:
These formulae are useful in to help put an equation involving sines or cosines multiplying by either
themselves or each other into an easier form to integrate. Here they are;
sin P + sin Q 2sin (P + Q P -Q
2 ) cos ( 2…