~ THE END ~

I guess that's all for chapter5! Im finally done with my blog! HOOORAYY=)) but remember guys, keep on practising to be excellent in this chapter.. afterall, practise makes permanent!



5.5 Making Connections and Instantaneous Rate of Change

The instantaneous rates of change of a sinusoidal function follow a sinusoidal pattern, and usually undrgoes transformation when modelling real-world processes.

Here's a simple video illustrating this subtopic :) Enjoy!=D

5.4 Solve Trigonometric Equations

1.Trigonometric equations can be solved in two ways:

• algebraically by hand
• graphically with technology

2. There are often multiple solutions. So, be sure to find all solutions that lie in the domain of interest.
3. Quadratic trigonometric ewuations can usually be solved by factoring.

Here are some interesting videos on solving trigonometric equations:) It's very beneficial..hope you guys gain the best of it! Have fun watching!:)

Solving Algebraically

Solving Graphically

LOVEEE MATHS! hehe:)

General Idea of 5.3

• The transformation of a sine/ cosine function f(x) to g(x) has the general form g(x) = a f [k(x-d)] + c, where |a| is the amplitude, d is the phase shift, and c is the vertical translation.
• The period of the transfored function is given by

5.3 Sinusoidal Functions of the form f(x) = a sin [ k(x-d) ] + c & f(x) = a cos [ k(x-d) ] + c

  f(x) = a sin [ k(x-d) ] + c 
  f(x) = a cos [ k(x-d) ] + c

a = amplitude
k-value = 2 / Period
d = phase shift to left / right
c = vertical translation upwards / downwards

EG:

y = sin x

y = 5 sin x ( where An =5)

y = sin x + 1