Discovering Trig Ratios
Take one of the hints below and follow the instructions on it. Try and make a general statement about what you find and see if you can use what you have found to make an “If ….. then …..” statement.
Make β = 45º
Move B to make AB = 5
What do you notice?
What did this lead you to try?
What did you discover?
So if……then ..….
Make β = 30º
Move B to make BC a whole number
What do you notice?
What did this lead you to try?
What did you discover?
So if……then ..….
Make β = 60º
Move B to make AC a whole number
What do you notice?
What did this lead you to try?
What did you discover?
So if……then ..….
Pick any value for β
Click on O/A button
Move B
What do you notice?
What did this lead you to try?
What did you discover?
So if……then ..….
Pick any point for B
Click on the O/A O/H and A/H buttons
Change the value of β
What do you notice?
What did this lead you to try?
What did you discover?
So if……then ..….
Pick any point for B
Click on the O/A, O/H and A/H buttons
Use your calculator to find Sin β (eg Sin 30º) What do you notice?
What did this lead you to try?
What did you discover?
So if……then ..….