Compound Angles,trigonometry Revision Notes From A-level Maths Tutor
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Pure Maths
Trigonometry A-level Maths Tutor
www.a-levelmathstutor.com
topic notes [email protected]
Compound Angles
The Six Compound Angle Identities
A-level Maths Tutor
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Trigonometry A-level Maths Tutor
Pure Maths www.a-levelmathstutor.com
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Double Angle Formulae
A-level Maths Tutor
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Trigonometry A-level Maths Tutor
Pure Maths www.a-levelmathstutor.com
topic notes [email protected]
Factor Formulae
A-level Maths Tutor
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Pure Maths
Trigonometry A-level Maths Tutor
www.a-levelmathstutor.com
topic notes [email protected]
rcos() form
Adding a sine and a cosine will generate a cosine curve. This will have a larger amplitude than the original and is out of phase with it.
Writing the expression as rcos(θ - α), 'r' amplitude 'α' no. degrees phase difference(to the right)
Thus expressions of the form:
can be rewritten as
A-level Maths Tutor
www.a-levelmathstutor.com
[email protected]
Pure Maths
Trigonometry A-level Maths Tutor
www.a-levelmathstutor.com
topic notes [email protected]
Finding 'r' and the phase angle 'α'
A-level Maths Tutor
www.a-levelmathstutor.com
[email protected]
Trigonometry A-level Maths Tutor
A-level Maths Tutor
Pure Maths www.a-levelmathstutor.com
www.a-levelmathstutor.com
topic notes [email protected]
[email protected]
Trigonometry A-level Maths Tutor
www.a-levelmathstutor.com
topic notes [email protected]
Compound Angles
The Six Compound Angle Identities
A-level Maths Tutor
www.a-levelmathstutor.com
[email protected]
Trigonometry A-level Maths Tutor
Pure Maths www.a-levelmathstutor.com
topic notes [email protected]
Double Angle Formulae
A-level Maths Tutor
www.a-levelmathstutor.com
[email protected]
Trigonometry A-level Maths Tutor
Pure Maths www.a-levelmathstutor.com
topic notes [email protected]
Factor Formulae
A-level Maths Tutor
www.a-levelmathstutor.com
[email protected]
Pure Maths
Trigonometry A-level Maths Tutor
www.a-levelmathstutor.com
topic notes [email protected]
rcos() form
Adding a sine and a cosine will generate a cosine curve. This will have a larger amplitude than the original and is out of phase with it.
Writing the expression as rcos(θ - α), 'r' amplitude 'α' no. degrees phase difference(to the right)
Thus expressions of the form:
can be rewritten as
A-level Maths Tutor
www.a-levelmathstutor.com
[email protected]
Pure Maths
Trigonometry A-level Maths Tutor
www.a-levelmathstutor.com
topic notes [email protected]
Finding 'r' and the phase angle 'α'
A-level Maths Tutor
www.a-levelmathstutor.com
[email protected]
Trigonometry A-level Maths Tutor
A-level Maths Tutor
Pure Maths www.a-levelmathstutor.com
www.a-levelmathstutor.com
topic notes [email protected]
[email protected]
