Selected: Edexcel A Level Maths - Pure Maths
AS & A2 (Whole Course) - Casio fx-991EX
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AS & A2 (Whole Course) - Casio fx-991EX
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Edexcel Further Maths 9FM0/02 Jun 2023 A2 Exam Q. 1 : 4 marks in 4:48 min.
Edexcel Further Maths 9FM0/02 Jun 2023 A2 Exam Q. 4 : 7 marks in 8:24 min.
Edexcel Further Maths 9FM0/02 Jun 2022 A2 Exam Q. 7 : 10 marks in 12:00 min.
Edexcel Further Maths 9FM0/01 Jan 2022 A2 Mock Q. 3 : 7 marks in 8:24 min.
Edexcel Further Maths 9FM0/02 Nov 2021 A2 Exam Q. 6 : 14 marks in 16:48 min.
Edexcel Further Maths 9FM0/01 Oct 2020 A2 Exam Q. 3 : 9 marks in 10:48 min.
Edexcel Further Maths 9FM0/01 Mar 2020 A2 Mock Q. 7 : 12 marks in 14:24 min.
Edexcel Further Maths 9FM0/01 Jun 2019 A2 Exam Q. 3 : 10 marks in 12:00 min.
Edexcel Further Maths 9FM0/01 Nov 2018 A2 Sample Exam Q. 3 : 10 marks in 12:00 min.
Edexcel Further Maths 9FM0/01 Aug 2017 A2 Sample Exam Q. 4 : 9 marks in 10:48 min.
Polar Curves
Polar Areas
Polar Coordinates - Graph sketching - Circle: r = a
Investigate polar curves with equations of the form: $r = a$ for various values of the constant $a$.
Polar Coordinates - Graph sketching - r = a trig(bt)
Investigate polar curves with equations of forms like \(r = a \cos \left( {b\theta } \right)\) and \(r = a \sin \left( {b\theta } \right)\)
for various trigonometric functions and various values of the constants \(a\) and \(b\).
With \(a = 1\) and \(b = 1\),
polar curves of forms like \(r = \cos \left( {\theta } \right)\) can be investigated.
With \(a = 1\),
polar curves of forms like \(r = \cos \left( {b\theta } \right)\) can be investigated.
With \(b = 1\),
polar curves of forms like \(r = a \cos \left( {\theta } \right)\) can be investigated.
Pay close attention to the number of loops.
for various trigonometric functions and various values of the constants \(a\) and \(b\).
With \(a = 1\) and \(b = 1\),
polar curves of forms like \(r = \cos \left( {\theta } \right)\) can be investigated.
With \(a = 1\),
polar curves of forms like \(r = \cos \left( {b\theta } \right)\) can be investigated.
With \(b = 1\),
polar curves of forms like \(r = a \cos \left( {\theta } \right)\) can be investigated.
Pay close attention to the number of loops.
Polar Coordinates - Graph sketching - Investigate Polar Spirals
Investigate polar spirals with various equations. Experiment with different ranges of the angle θ.
Polar Coordinates - Graph sketching - r = a(p + q trig(t))
Investigate polar curves with equations like \(r = a \left( {p + q \cos \left( \theta \right)} \right)\)
for various trigonometric functions and various values of the constants \(a\), \(p\) and \(q\).
Pay close attention to any loops or symmetry or occurences of cusps.
With \(a = 1\), \(p = 1\) and \(q = 1\),
polar curves of forms like \(r = 1 + \cos \left( \theta \right)\) can be investigated.
With \(a = 1\) and \(p = 1\),
polar curves of forms like \(r = 1 + q \cos \left( \theta \right)\) can be investigated.
With \(p = 1\),
polar curves of forms like \(r = a \left( {1 + q \cos \left( \theta \right)} \right)\) can be investigated.
With \(a = 1\),
polar curves of forms like \(r = p + q \cos \left( \theta \right)\) can be investigated.
for various trigonometric functions and various values of the constants \(a\), \(p\) and \(q\).
Pay close attention to any loops or symmetry or occurences of cusps.
With \(a = 1\), \(p = 1\) and \(q = 1\),
polar curves of forms like \(r = 1 + \cos \left( \theta \right)\) can be investigated.
With \(a = 1\) and \(p = 1\),
polar curves of forms like \(r = 1 + q \cos \left( \theta \right)\) can be investigated.
With \(p = 1\),
polar curves of forms like \(r = a \left( {1 + q \cos \left( \theta \right)} \right)\) can be investigated.
With \(a = 1\),
polar curves of forms like \(r = p + q \cos \left( \theta \right)\) can be investigated.
Polar Coordinates - r = p trig(q - t)
Investigate polar curves with equations like \(r = p \sec \left( q - \theta \right)\)
for various trigonometric functions and various values of the constants \(p\) and \(q\).
Pay close attention to any loops or symmetry or occurences of cusps.
for various trigonometric functions and various values of the constants \(p\) and \(q\).
Pay close attention to any loops or symmetry or occurences of cusps.
Polar Coordinates - r = a trig²(t)
Investigate polar curves with equations of forms like \(r = a{\cos ^2}\left( \theta \right)\)
for various trigonometric functions and various values of the constant \(a\).
Pay close attention to any loops or symmetry or occurences of cusps.
for various trigonometric functions and various values of the constant \(a\).
Pay close attention to any loops or symmetry or occurences of cusps.
Polar Coordinates - r² = a trig(bt)
Investigate polar curves with equations of forms like \({r^2} = a \cos \left( {b\theta } \right)\)
for various trigonometric functions and various values of the constants \(a\) and \(b\).
With \(a = 1\) and \(b = 1\),
polar curves of forms like \({r^2} = \cos \left( {\theta } \right)\) can be investigated.
With \(a = 1\),
polar curves of forms like \({r^2} = \cos \left( {b\theta } \right)\) can be investigated.
With \(b = 1\),
polar curves of forms like \({r^2} = a \cos \left( {\theta } \right)\) can be investigated.
Pay close attention to any loops or symmetry or occurences of cusps.
for various trigonometric functions and various values of the constants \(a\) and \(b\).
With \(a = 1\) and \(b = 1\),
polar curves of forms like \({r^2} = \cos \left( {\theta } \right)\) can be investigated.
With \(a = 1\),
polar curves of forms like \({r^2} = \cos \left( {b\theta } \right)\) can be investigated.
With \(b = 1\),
polar curves of forms like \({r^2} = a \cos \left( {\theta } \right)\) can be investigated.
Pay close attention to any loops or symmetry or occurences of cusps.