Download presentation

Presentation is loading. Please wait.

Published byJena McKay Modified over 2 years ago

1
Christina Myles Geometry Grade 10 Click Pal to continue through slideshow….

2
Hey guys, it’s so nice to see you again! I’m Pal and today, we will be discussing one of the most essential concepts of trigonomentry: THE UNIT CIRCLE! =)

3
So what IS the Unit Circle? Why is it so important? Let’s find out!

4
Remember last week, when we learned what SINE, COSINE, AND TANGENT were?

5
For Review, here are some of the key equations that we discussed last week about the values of a right triangle!

6
Did you know there was a way to connect this to the x and y axis of a graph?? THERE IS!

7
This is where the Unit Circle comes into play!

8
We use it to help use find the x and y values of the sine, cosine, and tangent of some key angles!

9
Every degree and radian has its own corresponding value for x and y! where: X = COS ( θ ) And Y = SIN ( θ ) And TAN ( θ ) = Y ÷ X

10
DegreeRadianSin (θ) = YCos (θ) = XTan (θ) = Y/X 0o0o 0010 30 o π/61/2(3) 1/2 /21/(3) 1/2 45 o π/41/ (2) 1/2 1 60 o π/3(3) 1/2 /21/2(3) 1/2 90 o π/210∞/DNE Here are some of the most common angles and their values. Let’s practice finding some values!

11
Looking at this unit circle, what do you think the value for (x,y) for 30 o is?

12
DegreeRadianSin (θ) = YCos (θ) = XTan (θ) = Y/X 0o0o 0010 30 o π/61/2(3) 1/2 /21/(3) 1/2 45 o π/41/ (2) 1/2 1 60 o π/3(3) 1/2 /21/2(3) 1/2 90 o π/210∞/DNE If you said x = (3) 1/2 /2 And y = ½ then you were correct!

13
Now that we have some experience with the circle and the chart, time for a QUIZ! Click to begin quiz

14
(0, 1) (1, 0) (½, ½) Click to See Unit Circle Click to See Chart

15
What you picked wasn’t correct, but don’t give up! Try looking at the chart or the Unit Circle itself for some clues! Click to Return to Question

16
Click to return to question

17
(0, 1) (1, 0) (½, ½) Click to See Unit Circle Click to See Chart

18
DegreeRadianSin (θ) = YCos (θ) = XTan (θ) = Y/X 0o0o 0010 30 o π/61/2(3) 1/2 /21/(3) 1/2 45 o π/41/ (2) 1/2 1 60 o π/3(3) 1/2 /21/2(3) 1/2 90 o π/210∞/DNE Back

19
What you picked wasn’t correct, but don’t give up! Try looking at the chart or the Unit Circle itself for some clues! Click to Return to Question

20
Congrats on Mastering the Unit Circle! End!

21
PowerPoint Clip Art Bing Images ◦ Searches – (x,y) plane URL: http://ts1.mm.bing.net/th?id=I4572014687356492&p id=1.3 http://ts1.mm.bing.net/th?id=I4572014687356492&p id=1.3 ◦ Searches – unit circle URL: http://ts3.mm.bing.net/th?id=I4624318799809054&p id=1.3 http://ts3.mm.bing.net/th?id=I4624318799809054&p id=1.3 Click to start show over

Similar presentations

OK

Do Now: Graph the equation: X 2 + y 2 = 1 Draw and label the special right triangles What happens when the hypotenuse of each triangle equals 1?

Do Now: Graph the equation: X 2 + y 2 = 1 Draw and label the special right triangles What happens when the hypotenuse of each triangle equals 1?

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on hydrostatic forces on submerged surfaces in static fluids Ppt on recycling of paper Ppt on south african culture today Ppt on power plant in india Ppt on unipolar nrz format Ppt on acid-base indicators images Ppt on aerobics exercises Ppt on fire extinguisher types a b Ppt on conservation of environment Ppt on economy of india