IB+Standard+Level+-+Circular+functions+and+Trigonometry

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The syllabus has remained largely the same here, some features such as applications of trigonometry have been more explicitly stated in the content, so the following is a slight amalgam of the two syllabi. Any significant differences are highlighted in bold.

3.1

The circle; radian measure of angles; length of an arc; area of a sector

3.2

Definition of costheta and sintheta in terms of the unit circle.

Definition of tantheta as sintheta/costheta


 * Exact values of trigonometric rations of 0,pi/6, pi/4, pi/3, pi/2 and their multiples**

The identity cos2theta + sin2theta = 1 //**(The Pythagorean Identity chapter 3.3 in new syllabus)**//

3.3

Double angle formulae: sin2theta = 2sinthetacostheta; cos2theta = cos2theta - sin2theta


 * Relationship between trigonometric ratios.**

3.4

The circular function sinx, cosx and tanx : their domain and ranges; their periodic nature and their graphs.

Composite functions of the form

f(x) = asin(b(x+c) + d

Transformations

Applications

3.5

Solution of trigonometric equations in a finite interval.

Equations of the type asin(b(x+c)) = k

Equations leading to quadratic equations in, for example sinx.

Graphical interpretation of the above

3.6

Solution of triangles

The cosine rule: c2 = a2 + b2 - 2abcosC

The sine rule: a/sin A = b/SinB = c/SinC (including the ambiguous case)

Area of a triangle as 1/2absinC

Applications

Pages relating to Circular functions and trigonometry
and similar with cosine and tangent functions. || 3.4 || J. Gregg ||
 * **Page Name** || **Description** || **Chapter ref.** || **Added by** ||
 * Transforming Trig Functions || Use GeoGebra to investigate functions of the form y = asin(bx + c) + d,