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ADD. MATHS BLOG: TRIGONOMETRY PAST YEAR QUESTIONS ON ADDITION FORMULAE
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For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Thursday, 26 December 2013. TRIGONOMETRY PAST YEAR QUESTIONS ON ADDITION FORMULAE. Trigonometry – Addition Formulae. On this segment reads:. 8220;The use of the basic addition formulae of trigonometry. Formal proofs of the basic formulae will not be required; questions using the formulae for sin(A B), cos(A B), tan(A B) may be set; the formulae will be provided, for example:. Sin(A B) = sin A cos B cos A sin B. 2] cos [( P-Q. 2 sin A cos B. P - Q ...
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ADD. MATHS BLOG: Brain Teaser 7: Line of Symmetry, Maxima (or, Minima) Of Quadratic Function in Terms Of a, b and c
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For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Tuesday, 8 July 2014. Brain Teaser 7: Line of Symmetry, Maxima (or, Minima) Of Quadratic Function in Terms Of a, b and c. The Brain Teaser: For quadratic function y = ax. Bx c, show that ax. Bx c ≡ a(x – s). M, where x = s = - (b/2a) is its line of symmetry; m = c - ( b. 4a) is its maxima (or minima, if a 0). In other words, if you substitute x = s into y = ax. But what is the value of s in terms of a, b and c? Bx c ≡ a(x – s). Have fun with maths!
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ADD. MATHS BLOG: TRIGONOMETRY (Edexcel Syllabus)
http://addmathsf45.blogspot.com/2013/01/trigonometry-edexcel-syllabus.html
For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Saturday, 5 January 2013. Edexcel Syllabus (Area 10):. Including use of arc length and area of sector. The formulae s = rӨ and A = ½ r. Ө for a circle are expected to be known. The three basic trigonometric ratios of angles of any magnitude (in degrees or radians) and their graphs. To include the exact values for sine, cosine and tangent of 30. Use of the sine and cosine formulae. General proofs of the sine and cosine formulae will not be required.
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ADD. MATHS BLOG: Trigo Question: Edexcel 4PMO, 2012 May 17 Paper 1 Question 7 – Q and A
http://addmathsf45.blogspot.com/2014/06/trigo-question-edexcel-4pmo-2012-may-17.html
For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Tuesday, 10 June 2014. Trigo Question: Edexcel 4PMO, 2012 May 17 Paper 1 Question 7 – Q and A. Cos(A B) = cosA cosB – sinA sinB. In the form M cos2x N sin2x. Where M and N are constants, giving the exact value of M. And the exact value of N. Solve, for 0. 8804; x ≤ 180. The equation cos2x –sin2x = 1 (5). The maximum value of cos2x –sin2x is k. Find the exact value of k. (2). Find the smallest positive value of x for which a maximum occurs. (3).
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ADD. MATHS BLOG: Brain Teaser 3: Solve sin(3 – z) = 0.8 for 0 < z < π radians.
http://addmathsf45.blogspot.com/2014/04/brain-teaser-3-solve-sin3-z-08-for-0-z.html
For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Sunday, 27 April 2014. Brain Teaser 3: Solve sin(3 – z) = 0.8 for 0. I have gone through this question with my students. You should try it too. You may post your answer by way of comments to this post with brief intro of yourself. Either I or one of my students will put up the answer in a week or so. Have fun with brain teasers of this blog! Acknowledgment: The above question was taken from IGCSE Cambridge Maths 0606, Yr 2012 . Q 9(b). Z = 3 - sin.
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ADD. MATHS BLOG: Brain Teaser 6: Differentiate y = Ae^2x + Be^-x, where x ≥ 0,…
http://addmathsf45.blogspot.com/2014/06/brain-teaser-6-differentiate-y-ae2x-be.html
For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Tuesday, 3 June 2014. Brain Teaser 6: Differentiate y = Ae 2x Be -x, where x ≥ 0,…. A curve has equation y = Ae. Where x ≥ 0. At the point where x = 0, y = 50 and dy/dx = -20. Show that A = 10 and find the value of B. (5). Using the values of A and B found in part (i), find the coordinates of the stationary point of the curve. (4). My additional question: Express the exact values of the coordinates of this stationary point as (C ln. C = 1/3: D=30].
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ADD. MATHS BLOG: SPM (2005 - 2013) Past Year Questions on Trigonometric Function Graphs
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For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Monday, 6 January 2014. SPM (2005 - 2013) Past Year Questions on Trigonometric Function Graphs. SPM Past-Yr Questions on Trigonometric Function Graphs (Yrs: 2005 – 2013). With a peek at similar questions from IGCSE Cambridge Add-Maths 0606 and Edexcel 4PMO (Further Pure Maths). Note: SPM 2013 P2 Q4. On trigonometric functions does not involve graphs. Unlike the years before). The SPM Past Year Questions. Prove that 2/(cos 2x 1) = sec. I) Sketch th...
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ADD. MATHS BLOG: Brain Teaser 1: Trigonometric Inequality
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For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Wednesday, 2 April 2014. Brain Teaser 1: Trigonometric Inequality. 8804; x ≤ 180. Find to 3 significant figures the range of values of x for: 5 sin x cos x.". In an earlier post, I have blogged about " A Negative Number Without The Negative Sign. Have you thought about it? That depends on whether you are 'passionate' about that question, right? Any way, let me continue: T rigonometric ratios. In the 1st quadrant (qd), A. In the 2nd qd, only s.
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ADD. MATHS BLOG: Brain Teaser 2: Find the value of e^x, where x = 4 + ln 2
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For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Monday, 21 April 2014. Brain Teaser 2: Find the value of e x, where x = 4 ln 2. If you can solve the above, you should be able to solve these too (without using calculator):. Find the value of:. Where x = 4 log. Where z = 5 log. 3 (IGCSE Cambridge Add-Maths 0606, Yr 2010/Summer/p22, Q10(b). I will post their answers in a week or so. Meanwhile, you may post your answers by way of comments to this post. Have fun with maths! Find the value of:. Arith...
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ADD. MATHS BLOG: Brain Teaser 4: Find the centre and the radius of the circle with the equation x2 + y2 – 4x – 6y – 12 = 0 (or, x2 + y2 = ax + by + c, generally)
http://addmathsf45.blogspot.com/2014/05/brain-teaser-4-find-centre-and-radius.html
For SPM, IGCSE Cambridge / Edexcel Yrs 10 / 11 Students). Thursday, 1 May 2014. Brain Teaser 4: Find the centre and the radius of the circle with the equation x2 y2 – 4x – 6y – 12 = 0 (or, x2 y2 = ax by c, generally). If you are given the centre of a circle as (a, b) and the radius as r (directly or indirectly), you can easily use Pythagoras Theorem to derive its equation as follows:. X – a). Y – b). If you are given equation of a circle not in the above format but in already simplified form, say. 2013 S...