Feel like a brain teaser? Try this trigonometric identity proof. Expect to struggle a bit! Thanks to one of my students who figured this out before me!
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.
Trigonometric graphs lesson 7 – Horizontal translation followed by horizontal dilation, general form
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.