Inverse trigonometric functions pdf class 12

You do not have frames enabled. It is therefore also a prominent example of digit-by-digit algorithms. Inverse trigonometric functions pdf class 12 such, they belong to the class of shift-and-add algorithms.


Similar mathematical techniques were published by Henry Briggs as early as 1624 or Robert Flower in 1771, but CORDIC is optimized for low-complexity finite-state CPUs. CORDIC was conceived in 1956 by Jack E. Volder at the aeroelectronics department of Convair out of necessity to replace the analog resolver in the B-58 bomber’s navigation computer by a more accurate and performant real-time digital solution. Therefore, CORDIC is sometimes referred to as digital resolver.

His research led to an internal technical report proposing the CORDIC algorithm to solve sine and cosine functions and a prototypical computer implementing it. The report also discussed the possibility to compute hyperbolic coordinate rotation, logarithms and exponential functions with modified CORDIC algorithms. Utilizing CORDIC for multiplication and division was also conceived at this time.

Based on the CORDIC principle, Dan H. In 1958, Convair finally started to build a demonstration system to solve radar fix-taking problems named CORDIC I, completed in 1960 without Volder, who had left the company already. Daggett and Harry Schuss in 1962.

Volder’s CORDIC algorithm was first described in public in 1959, which caused it to be incorporated into navigation computers by companies including Martin-Orlando, Computer Control, Litton, Kearfott, Lear Siegler, Sperry, Raytheon, and Collins Radio soon. The design was introduced to Hewlett-Packard in June 1965, but not accepted.

Volder’s algorithm and when Cochran later met Volder he referred him to a similar approach John E. Meggitt’s method was also suggesting the use of base 10 rather than base 2, as used by Volder’s CORDIC so far. These efforts led to the ROMable logic implementation of a decimal CORDIC prototype machine inside of Hewlett-Packard in 1966, build by and conceptually derived from Thomas E. Osborne’s prototypical Green Machine, a four-function, floating-point desktop calculator he had completed in DTL logic in December 1964.

This project resulted in the public demonstration of Hewlett-Packard’s first desktop calculator with scientific functions, the hp 9100A in March 1968, with series production starting later that year. Logarithmic Computing Instrument desktop calculators, they unsuccessfully accused Hewlett-Packard of infringement of one of An Wang’s patents in 1968. John Stephen Walther at Hewlett-Packard generalized the algorithm into the Unified CORDIC algorithm in 1971, allowing it to calculate hyperbolic and exponential functions, logarithms, multiplications, divisions, and square roots.