Excellent work, 4/5 ☆☆☆☆ (you loose one star for using a blue mark).
Lesson 4:
Now I want you to estimate (again no need to be accurate) what angle that mark is sitting at on the circle . . .
(again, remember GameSalad uses the standard mathematical convention of 0° being at 3 o'clock (basically pointing right) - and values increase as you go counterclockwise)
You need to draw a line from the centre of the circle to the mark - and indicate the angle of the line . . . . leave the 0.7,0.7 co-ordinates on if you want.
Choose any angle of your choice, and mark the angle and then the sin and cos of that angle, rough estimates will do, no need to be accurate.
Remember, the angles start at 0° (pointing right / 3' o'clock) and increase counterclockwise), the cos is the horizontal distance from the middle of the circle, the sin is the vertical distance from the middle of the circle.
@Thunder_Child said:
Angle = i dont understand how to determin angle based on these values.
You are working the wrong way around (this is all going on your report card).
You start with the angle . . . and then determine the cos and sin of that angle . . . .
(it's much simpler than people think)
Rather than working out the cos and sin and then (from those values) trying to determine the angle, you work the other way around, the angle tells you the cos and sin values.
As you have simply guessed the cos and sin (and from what I can tell correctly guessed the cos and sin or near enough), then you can also just guess the angle for our purposes (looks sort of 200°-ish).
. . . . .
Just played around with a calculator, threw a few guesses in based on your picture . . .
The cos of 216° is -0.8
The cos of 216° is -0.58
So, let's call the angle 216, but like I say, accuracy is not important, I am just trying to communicate concepts, your angle is just passed 180, so 'just passed 180°' would have been fine, or even 'sorta' 200-ish'
3/5 ☆☆☆ (you lost a lot of points for your lack of creative use of colour)
Ok. Angle first...guess as accrurate as possible...then do the cos and sin. I shoukd be using a grid to do this Im thinking now.
I like it ! Thinking outside the box, 2 stars ☆☆
Basically cos and sin are just co-ordinates, so some might like to use a grid, although you don't really need one as it's just over complicating an attempt to illustrate a simple concept.
@Thunder_Child said:
Actually I drew the angle...then made my cross lines. Best guessed the intersecting cos and sin...and coukdnt tell angle. "F" for fantastic?
So we can see that the cos of an angle is just the horizontal distance from the centre of the circle to where the angle (or a line drawn at that angle) intersects the circle.
And the sin is the same deal but the vertical distance from the centre of the circle.
. . . . . . . .
The sine of 45° when used in maths is expressed like this sin(45°) . . . or the cosine of 224° is expressed like this cos(224°).
Ok, Question: what would happen to an object constrained to cos(X) and sin(X) if the value of X was constantly decreasing ?
Comments
Showing off will be severely punished.
Excellent work, 4/5 ☆☆☆☆ (you loose one star for using a blue mark).
Lesson 4:
Now I want you to estimate (again no need to be accurate) what angle that mark is sitting at on the circle . . .
(again, remember GameSalad uses the standard mathematical convention of 0° being at 3 o'clock (basically pointing right) - and values increase as you go counterclockwise)
You need to draw a line from the centre of the circle to the mark - and indicate the angle of the line . . . . leave the 0.7,0.7 co-ordinates on if you want.
@Socks
Lol. Thats a 45* angle
Now Im driving. Lol
4/5 ☆☆☆☆
5/5 ☆☆☆☆☆
Ok, perfect . . . . (although Lovejoy looses a star for using blue again)
. . . . . . . .
Lesson 5:
Q2: What is the cos of 45° ?
Q2: What is the sin of 45° ?
Remember cos is the horizontal measurement from the centre . . . and sin is the vertical measurement from the centre.
sin: 0.7
cos: 0.7
sin 0.7 cos 0.7 :P
X= 0,.7 cos
Y= 0,.7 sin
?
Cos .7
Sin .7
?
Learn in 10 minutes is equal to wife ready in 10 minutes ?
Correct - 5/5 ☆☆☆☆☆
The cos and sin of 45° is 0.7
. . . . . . .
Lesson 6:
Choose any angle of your choice, and mark the angle and then the sin and cos of that angle, rough estimates will do, no need to be accurate.
Remember, the angles start at 0° (pointing right / 3' o'clock) and increase counterclockwise), the cos is the horizontal distance from the middle of the circle, the sin is the vertical distance from the middle of the circle.
Points will be given for creative use of colour.
Cos = -.5
Sin = -.8
Angle = i dont understand how to determin angle based on these values.
You are working the wrong way around (this is all going on your report card).
You start with the angle . . . and then determine the cos and sin of that angle . . . .
(it's much simpler than people think)
Rather than working out the cos and sin and then (from those values) trying to determine the angle, you work the other way around, the angle tells you the cos and sin values.
As you have simply guessed the cos and sin (and from what I can tell correctly guessed the cos and sin or near enough), then you can also just guess the angle for our purposes (looks sort of 200°-ish).
. . . . .
Just played around with a calculator, threw a few guesses in based on your picture . . .
The cos of 216° is -0.8
The cos of 216° is -0.58
So, let's call the angle 216, but like I say, accuracy is not important, I am just trying to communicate concepts, your angle is just passed 180, so 'just passed 180°' would have been fine, or even 'sorta' 200-ish'
3/5 ☆☆☆ (you lost a lot of points for your lack of creative use of colour)
@Socks
Ok. Angle first...guess as accrurate as possible...then do the cos and sin. I shoukd be using a grid to do this Im thinking now.
Actually I drew the angle...then made my cross lines. Best guessed the intersecting cos and sin...and coukdnt tell angle. "F" for fantastic?
I like it ! Thinking outside the box, 2 stars ☆☆
Basically cos and sin are just co-ordinates, so some might like to use a grid, although you don't really need one as it's just over complicating an attempt to illustrate a simple concept.
'F' for 'Fool', see me after class.
@Socks I went for an easy answer
So is this the end of class?
how is this? calculate every sin and cos in every rotation. @Socks do I get an A++? :P
I like this!
No !
Trying to find more beer, stay in your seats.
Very good + ☆☆☆☆ for your unique spelling of 'circle'.
I spelled it like cirkel right? That's dutch
Should I start a dutch class? Lol
Angle=260ish
Cos=.4
Sin=.9
1/3
The authorities have been notified.
1/3 what does this mean? I was just doing another practice. It was wrong?
Ok, Lesson 7:
So we can see that the cos of an angle is just the horizontal distance from the centre of the circle to where the angle (or a line drawn at that angle) intersects the circle.
And the sin is the same deal but the vertical distance from the centre of the circle.
. . . . . . . .
The sine of 45° when used in maths is expressed like this sin(45°) . . . or the cosine of 224° is expressed like this cos(224°).
Ok, Question: what would happen to an object constrained to cos(X) and sin(X) if the value of X was constantly decreasing ?
Yes, you must pay attention otherwise you will be exterminated.
The angle is right, the cos and sin values are wrong.
Well assuming X for both values started at the cos 1 and sin 1 you would end up at the cos-1 and sin -1. Angle of 270
No wait. It would meet at 0,0 but if continued go to 270
No thats wrong also.