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Mathematics Education

Easy way to solve any trigonometric equation with TI-84 plus

By Magic Monk on Saturday, November 3, 2018

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..

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Mathematics Education

Trigonometric graphs lesson 8 – modelling real life situations

By Magic Monk on Friday, November 2, 2018

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.

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Mathematics Education

Trigonometric graphs lesson 7 – Horizontal translation followed by horizontal dilation, general form

By Magic Monk on Thursday, November 1, 2018

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.

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Mathematics Education

Trigonometric graphs lesson 6 – Horizontal translation part 1

By Magic Monk on Wednesday, October 31, 2018

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 …

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Mathematics Education

Trigonometric graphs lesson 5 – Vertical translation

By Magic Monk on Tuesday, October 30, 2018

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

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Mathematics Education

Trigonometric graphs lesson 4 – Calculating the period / horizontal dilation

By Magic Monk on Monday, October 29, 2018

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).

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Mathematics Education

Trigonometric graphs lesson 3 – Amplitude, vertical dilation

By Magic Monk on Sunday, October 28, 2018

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.

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Mathematics Education

Trigonometric graphs lesson 2 – cosine curve, domain, range, period

By Magic Monk on Saturday, October 27, 2018

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.

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Mathematics Education

Trigonometric graphs lesson 1 – how to draw the sine wave

By Magic Monk on Friday, October 26, 2018

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 …

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Mathematics Education

Proving Trig Identities practice question 3

By Magic Monk on Thursday, October 25, 2018

Another tutorial on how to prove trig identities with 2 practice questions. The questions are: 1) 3sin^2x-2cos^2x=5sin^2x-2. 2) cos^2x+tan^2x=sec^2x-sin^2x. Have a go then come and see the answer!

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