true
randRangeNonZero(-90, 90) * 5
ANGLE * PI / 180
ANGLE + "^{\\circ}"
randFromArray( [ "cos", "sin" ] )
{ "cos": $._("cosine"), "sin": $._("sine")}[FN]
{ "cos": "x", "sin": "y"}[FN]
roundTo(3, { "cos": Math.cos(ANGLE * (Math.PI/180)), "sin": Math.sin(ANGLE * (Math.PI/180)) }[FN])
\FN\left(PRETTY_ANGLE\right) = \text{?}
Move the orange point around the unit circle to the angle
PRETTY_ANGLE
radians
to find the FNNAME value.
Round to the nearest thousandth.
SOLUTION
angle
if (abs(guess) < 0.001) {
return "Move the orange point around the unit circle to the correct position.";
}
// Verify that the angles match
if (abs(guess - ANGLE_RADIANS) < 0.001) {
return true;
}
// Convert guess to an angle between 0 and 2 * PI for comparison
var revolutions = floor(guess / (2 * PI));
var modified_guess = guess - revolutions * 2 * PI;
// Convert answer to an angle between 0 and 2 * PI
revolutions = floor(ANGLE_RADIANS / (2 * PI));
var modified_angle = ANGLE_RADIANS - revolutions * 2 * PI;
if (abs(modified_angle - modified_guess) < 0.001) {
return "The orange point is in the correct position, but must measure the correct angle.";
} else {
return false;
}
KhanUtil.setAngle( guess );
To find the FNNAME using the unit circle, first find the angle.
Drag the orange point around the circle until PRETTY_ANGLE is selected.
The correct angle is selected. Remember, the FNNAME of an angle is represented by the
COORD coordinate of its corresponding point on the unit circle.
goToAngle( ANGLE );
The COORD coordinate of the point is \pink{SOLUTION},
so \FN\left(PRETTY_ANGLE\right) = SOLUTION.
goToAngle(ANGLE);
showCoordinates(ANGLE, COORD);
false
randFromArray([
-6*PI/2, -5*PI/2, -7*PI/3, -9*PI/4,
-2*PI, -11*PI/6, -7*PI/4, -5*PI/3, -3*PI/2, -4*PI/3, -5*PI/4, -7*PI/6,
-PI, -5*PI/6, -3*PI/4, -2*PI/3, -PI/2, -PI/3, -PI/4, -PI/6, -PI/12,
PI/12, PI/6, PI/4, PI/3, PI/2, 2*PI/3, 3*PI/4, 5*PI/6, PI,
7*PI/6, 5*PI/4, 4*PI/3, 3*PI/2, 5*PI/3, 7*PI/4, 11*PI/6, 2*PI,
9*PI/4, 7*PI/3, 5*PI/2, 6*PI/2
])
ANGLE
piFraction(ANGLE, false, 0.001, true)
randFromArray( [ "cos", "sin" ] )
{ "cos": $._("cosine"), "sin": $._("sine")}[FN]
{ "cos": "x", "sin": "y"}[FN]
roundTo(3, { "cos": Math.cos(ANGLE), "sin": Math.sin(ANGLE) }[FN])