From 49cf36434f30dbee6a9eae7ddfc1467f774541ed Mon Sep 17 00:00:00 2001 From: Chrissy Date: Thu, 17 Sep 2026 14:59:39 -0400 Subject: [PATCH] fix part c and improve intro and part d --- .../doenet/PA-circular-sine-D.doenetml | 31 +++++++++++-------- 1 file changed, 18 insertions(+), 13 deletions(-) diff --git a/source/previews/doenet/PA-circular-sine-D.doenetml b/source/previews/doenet/PA-circular-sine-D.doenetml index ad3ef6ab..9a134a0c 100644 --- a/source/previews/doenet/PA-circular-sine-D.doenetml +++ b/source/previews/doenet/PA-circular-sine-D.doenetml @@ -21,7 +21,8 @@ (cos($anglelist[$k]),sin($anglelist[$k])) - $listEnt + + {$listEnt} -sqrt(3)/2 @@ -91,6 +92,10 @@ +

+ If we consider the unit circle, start at t = 0, and traverse the circle counterclockwise, we may view the height, h, of the traversing point as a function of the angle, t, in radians. From there, we can plot the resulting (t,h) ordered pairs and connect them to generate the circular function f(t) pictured in the following figure. This function tracks the height of a point traversing the unit circle, so that h=f(t) is the height of the point at angle t. +

+ graph of a unit circle and moveable point on the circle @@ -155,8 +160,8 @@

Complete the following table with the exact values of h that correspond to the stated inputs.

- - + + t 0 $anglelist[1] @@ -164,7 +169,7 @@ $anglelist[3] $anglelist[4] - + h value of h0 value of h$plist[1][2] @@ -172,7 +177,7 @@ value of h$plist[3][2] value of h$plist[4][2] - + t $anglelist[5] $anglelist[6] @@ -180,7 +185,7 @@ $anglelist[8] $anglelist[9] - + h value of h$plist[5][2] value of h$plist[6][2] @@ -188,7 +193,7 @@ value of h$plist[8][2] value of h$plist[9][2] - + t $anglelist[10] $anglelist[11] @@ -196,7 +201,7 @@ $anglelist[13] $anglelist[14] - + h value of h$plist[10][2] value of h$plist[11][2] @@ -204,7 +209,7 @@ value of h$plist[13][2] value of h$plist[14][2] - + t $anglelist[15] $anglelist[16] @@ -212,7 +217,7 @@ - + h value of h$plist[15][2] value of h$plist[16][2] @@ -228,11 +233,11 @@

What is the exact value of f\left(\frac{11\pi}{4}\right)?
- -sqrt(2)/2 + sqrt(2)/2

What is the exact value of f\left(\frac{14\pi}{3}\right)?
- -sqrt(3)/2 + sqrt(3)/2

  • @@ -242,4 +247,4 @@

  • - \ No newline at end of file +