Magic Monk's Blog

In this video I present two useful tips to help you prove trigonometric identities. I use a problem we’ve done previously but I prove it using a different method.

You are lucky if you can use a TI-84 for your exam, because you can now check the answer for the solution of any trig equation..

In this lesson we sum up everything we’ve learned so far with a practical modelling question involving temperature variations on a given day with respect to time in hours. Hopefully you guys don’t find it too difficult.

Continuing from the last tutorial, we talk about what happens when we combine horizontal translation with horizontal dilation, and we give a general form for all periodic functions and talk about the effects of changing each constant/coefficient.

In this video we talk about how to shift the curve y=sin(x) to the right or to the left, by adding a constant inside the bracket e.g. by writing y=sin(x+c) this will move the curve to the left by c units. This only works when coefficient of x is 1. In the next video we …

In this tutorial we show you guys how to shift the graph up and down by adding or subtracting a constant at the end of the equation i.e. y=sin(x)+c

In this lesson we talk about how you can adjust the period of a trigonometric function by multiplying the input by a factor. E.g. y=sin(kx) would have a period of 360/k (in degrees) or 2pi/k (in radians).

In this lesson we talk about how to stretch the periodic function y=sin(x) vertically by adjusting the amplitude from 1 to A e.g. y=Asin(x) so A is the amplitude and vertical dilation factor.

In this lesson we show you how to draw the cosine function as well as discuss the concepts of domain, range, and period of a cosine function.

In this lesson we show you how to draw the sine curve or the sine graph – in other words, a graph of the sine function, y=sin(theta). Please make sure you have done the basic trigonometry and unit circle tutorials so you understand what the sine function does and why you can have an input …