Mind Games, Trigonometric Functions and Fun
How are you?
I hope you are great.
I have a little challenge for you today.
Please tell me which one of the circles in the picture below is rotating.
Are you sure? Look at one of the circles closely.
Today we are going to learn about Trigonometric Functions.
Whenever we want to find an unknown side or angle in a right angle triangle we can use one of the trigonometric equations below.
EXPLANATION OF TRIGONOMETRIC
The Sin represents the word Sine and θ represents the angle. Sin is a function on your calculator. Take out your calculator and press Sin 90. When you do this you will get 1 for your answer. In the trigonometric equation the value of Sinθ is equal to opposite / hypotenuse which is the opposite side of the angle divided by the hypotenuse.
Well sometimes you are given questions like the one below, where you are asked to find the OPPOSITE side and you are only given the angle and the hypotenuse. You cannot use Pythagoras theorem because you don’t know the value for TWO sides and remember that you must know the value of two sides for you use Pythagoras theorem.
What is the value of the Opposite Side(x)?
Step 1: Understand the Question
The first thing that you must do is understand what the question is asking. Ask yourself, ‘What is the question really asking me to find?’. In our case, the question is asking us to find the value for x, which is the Opposite side of the angle.
Step 2: Write down what you know and what you don’t know
Ok now, let’s write down what we know and what we don’t know.
Step 3: Decide which Trigonometric Equation to use
Ok we are looking for a trigonometric function that have opposite, hypotenuse and Angle(θ).The trigonometric equation that has all these variables is Sinθ = opposite / hypotenuse.
Step 4: Put the values in the equation and solve
Well guys that’s it for today. Tomorrow we will do Cosθ and Tanθ.
Have a great day guys and Keep Being Cool
You can click on the “Books” button below for some great math books.