SIN

Syntax SIN (angle)
Location QL ROM

This function returns the sine of the given angle (in radians ranging from -PI/2 to PI/2). In a right-angled triangle, the sine is the ratio of the length of the side opposite to the angle, to the length of the hypotenuse. A negative angle indicates that the hypotenuse appears below the base line.

Example

A procedure to draw a sector of a circle with the centre at x,y and radius r.

  • A is the angle between the first straight side of the sector and a vertical line on the screen,
  • B is the angle between the two straight sides.
  • Both angles have to be given in radians, b should be between 0 and 2*PI.
  • Ch specifies the window to be used and cannot be omitted.
100 DEFine PROCedure SECTOR (ch, x, y, r, a, b)
110   LOCal x1, x2, y1, y2
120   x1 = x + r * SIN(a): x2 = x + r *SIN(a + b)
130   y1 = y + r * COS(a): y2 = y + r *COS(a + b)
140   LINE# ch, x1, y1 TO x, y TO x2, y2
150   ARC# ch, x2, y2 TO x1, y1 ,b
160 END DEFine SECTOR

SECTOR #1, 50, 50, 10, PI/4, PI/2

NOTE 1

SIN (PI)==0 (approximately zero) on all ROMs. This should in fact equal zero - only the Lightning maths package and SMS get this right.

NOTE 2

On Minerva v1.96+ SIN with very large values for radian return 0. On other implementations it returns an overflow error. You should therefore check the range of the angle parameter.

CROSS-REFERENCE

See COS, TAN, RAD, ASIN, ACOS, ATAN, DEG. See also SINH. Please also refer to the Mathematics section of the Appendix.