Integration: Negative areas
This chapter explores negative areas. It covers understanding that areas below the x axis are negative, calculating areas under a curve, some or all of which may be under the x axis. Before attempting this chapter you must have prior [...]
Sine and Cosine Graphs
This chapter explores sine and cosine graphs. It covers sketching sine and cosine graphs, finding angles which have same sine or cosine values, and solving simple equations such as sin x = 0.6 You must have prior knowledge of basic [...]
Trigonometric Equations 2
This chapter explores trigonometric equations. It covers solving harder trigonometric equations using identities. Before attempting this chapter you must have prior knowledge of solving trigonometric equations and must go through trigonometric equations 1 Solving sin x = 1/4 Suppose we [...]
Trigonometric Equations 1
This chapter explores trigonometric equations. This is the first part of this part. The chapter covers solving harder trigonometric equations of the type for example 2x = 0.4 or cos (x – π/3) = √2. Before attempting this lesson you [...]
Solving equations using logs
This chapter explores solving equations using logs. It covers solving equations and inequalities usig logs, fiding intersection s of exponential graphs uing logs. Before atempting this chapter you must have prior knowledge of logs basics. Solve equations using logs on [...]
R-Alpha Method
In this entry we shall be exploring the R-alpha method. We shall explore how to use expressions such as Rcos(x+α) and Rsin(x-α) in connection with acosx ± bsinx. Furthermore we shall explore how to solve equations of the form acosx [...]
Cosine Rule
In this chapter we shall be exploring the cosine rule. In trigonometry we can use the cosine rule to find the missing sides and angles in a triangle. You must have some basic knowledge of trigonometry and bearings to appreciate [...]
Sine Rule
This chapter covers the sine rule used in trigonometry. We shall be exploring how to use the sine rule to find missing sides and angles. You must have some basic knowledge of trigonometry. If we know the sides/angles in a [...]
Area Under A Curve
For this lesion you must have some basic knowledge of integration. In this maths entry we shall be evaluating the area under the curve between certain limits. There are some applications where you will be required to find the area [...]
Pascal’s Triangle
Expanding very large powered numbers can be quite tedious, since the expansion requires a lot of expanding over and over again. For example trying to expand (x+1)5 and (x+1)7, this would take a very long time and cause lot’s of [...]