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trigonometric functions

summary

    This subchapter looks at trigonometric fucntions.

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stub section

    This subchapter is a stub section. It will be filled in with instructional material later. For now it serves the purpose of a place holder for the order of instruction.

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trigonometric functions

    This subchapter looks at trigonometric functions.

    Note that all other trignometric functions can be derived from just the three functions sine, cosine, and arc tangent. Some programming languages, such as ALGOL and Pascal, use this to simplify the construction of a compiler for the programming language.

ALGOL    sine(E) — ALGOL-60 library function that returns the sine of an expression.
BASIC    SIN(x) — BASIC library function that returns the sine of an expression.

ALGOL    cos(E) — ALGOL-60 library function that returns the cosine of an expression.
BASIC    COS(x) — BASIC library function that returns the cosine of an expression. The expression is in radians.
Pascal    cos(x) — Pascal standard function that returns the REAL cosine of an argument x expressed in radians.

BASIC    TAN(x) — BASIC library function that returns the tangent of an expression. The expression is in radians.

ALGOL    arctan(E) — ALGOL-60 library function that returns the arc tangent of an expression.
BASIC    ATN(x) — BASIC library function that returns the arc tangent of an expression.
LISP    ATAN(x) — LISP function (ATAN Y X) that takes two arguments of type float or fix and returns the arc tangent of y/x in the quadrant determined by the signs of x and y. The value of ATAN is an angle θ such that y = r sin(θ) and x = r cos(θ) for some r. The result is undefined if both x and y are zero.
Pascal    arctan(x) — Pascal standard function that returns the REAL arc tangent of an argument x expressed in radians.

BASIC    ACS(x) — BASIC library function that returns the arc cosine of an expression. The expression is in radians (57 degrees approximately = 1 radian). The Sinclair ZX80 uses ARCOS and the SHARP 1211 (TRS-80 Pocket Computer) uses AC.
BASIC    ACSD(x) — BASIC library function for some forms of BASIC that returns the arc cosine of an expression. The expression is in degrees.
BASIC    ACSG(x) — BASIC library function for some forms of BASIC that returns the arc cosine of an expression. The expression is in grads (110 grads = 90 degrees).
PL/I    ACOS(x) — Pl/I built-in function that returns the arc cosine (angle in radians whose cosine is) of a variable or expression.

Ada

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