JPS62143160A - Electronic calculator - Google Patents

Abstract

PURPOSE:To obtain accurately the answer of a trigonometric equation by providing the titled computer with a means for inputting numeral data included in the trigonometric equation, a register part and an arithmetic part. CONSTITUTION:Whether the contents of an alpha register 3f are ¦alpha>>>=1 or not is decided, and when the decided result is YES< the contents of the alpha register 3f are sent to the arithmetic part 4, sin<-1>alpha is calculated and the contents of the alpha register 3f are displayed on a display part 5 as the answer. Whether the contents of a beta register 3g are ¦beta¦<=1 or not is decided, and if the decided result is YES, the contents of the beta register 3g are sent to the arithmetic part 4, sin<-1>beta is calculated and the contents of the beta register 3g are displayed on the display part 5 as the answer. If the decided result is NO, a message indicating no answer is displayed on the display part 5. Thus, the answer or a trigonometric equation can be accurately found out.

Description

DETAILED DESCRIPTION OF THE INVENTION [Technical Field of the Invention] This invention relates to a small electronic calculator having the function of solving trigonometric equations.

[Prior art and its problems] Conventionally, when solving trigonometric equations on small electronic calculators such as personal computers and pocket computers, solutions are obtained by creating a program in advance and substituting numerical values into it. That's what I do.

However, creating a program each time an equation is solved in this way not only requires a lot of effort and trouble, but also may not provide accurate solutions due to programming errors. However, it had the disadvantage of being difficult to use.

[Object of the invention] This invention was made to eliminate the above-mentioned drawbacks.
The purpose of this invention is to provide a small electronic calculator that can accurately obtain solutions to trigonometric equations with simple key operations.

[Key points of the invention 1 By the way, to explain the idea of this invention in detail, generally the trigonometric equation f(sinx)=O is expressed as f(sinx)=a
,5inflx +an-1s in'l °1x+ -・・−・
+aIS i n X +aO...(1) It is represented as follows. Here, if sinx=X, (
1) Formula is f (X)=ag X71+an-(X"" + ・
-+a(X+aQ -(2) roar, the n-th equation of X roars.

Then, solve this n-dimensional equation and find the solution α1,...
If αn is 1≦1 k-1,2,...ns in Iα
x-(2k X=S inol ak.

Therefore, as a concrete example, the quadratic trigonometric equation % expression % In the case of s i nx=X, a If you ask for The solution can be found more easily.

Therefore, in this invention, focusing on this, the data input from the key input unit is stored in a plurality of registers, and the solution to the trigonometric equation is obtained by executing the above-mentioned operations based on the data in these registers. It is composed of

[Embodiments of the invention] An embodiment of the present invention will be described below with reference to the drawings.

FIG. 1 shows the circuit configuration of the same embodiment.

In the figure, 1 is a key manual section, and this key manual section '1 has numerical keys 1a from O to 9, four arithmetic keys 1b such as +, -, etc.
, an equal key 1C, a store command key 1d, a register selection key 1e, and a trigonometric equation key 1f. Here, the register selection key 1e consists of keys a, b, and c corresponding to registers 3C13d and 3e of the data storage section 3, which will be described later, and the trigonometric equation key 1f consists of sin and cos.
, tan.

The output of the key human power section 1 is sent to the control section 2. The control section 2 is composed of a ROM or the like that stores various control programs, and supplies address data, operation commands, etc. to the data storage section 3.

The data storage section 3 includes an X register 3a, a Y register 3b, and an A
It has a register 3C, a B register 3d, a C register 3e, an α register 3f, and a β register 3Ω.

A calculation section 4 and a display section 5 are connected to the data storage section 3 . Here, the arithmetic unit 4 executes the above-mentioned arithmetic operations in response to arithmetic instructions from the control unit 2. Further, the display section 5 is adapted to appropriately display the contents of the key input section 1 and the data storage section 3.

Next, the operation of the embodiment configured as described above will be explained with reference to the flowchart of FIG.

Now, for example, f(sinx)=clSin2X+○5inx+c=Q We will explain the case of finding a solution to a quadratic trigonometric equation.

In this case, in the key input section 1, numerical data corresponding to a in the above equation is first inputted using the numerical keys 1a, and then the store command key 1d and the C key of the register selection keys 1e are operated. Then, the a data is written into the A register 3C of the data storage section 3 according to the operation command from the control section 2. Next, enter the numerical data corresponding to b in the above formula using the numerical key 1a, then press the store command key 1d and register selection key 1.
Operate the b key of e. Then, the b data is written in the B register 3dt of the data storage section 3 according to the operation command from the control section 2. Similarly, numerical data corresponding to C in the above equation is input using the numerical key 1a, and then the store command key 1d and the C key of the register selection keys 1e are operated.

Then, the C data is written into the C register 3e of the data storage section 3 according to the operation command from the control section 2.

When all data input is completed in this manner, the s in5OL key of the trigonometric equation key 1f is operated. Then, the operation shown in the flowchart of FIG. 2 starts, and first, the contents of the A register 3C, B register 3d, and C register 3e are changed to
, 3b is temporarily transferred to the calculation unit 5, where the calculation of -8shi, rW-277g is executed. Therefore, this calculation result is written to the α register 3f in step 1, and in step A2, β
Written to register 3g. Then, the process advances to step A3.

In this step A3, the content of the α register 3f is 1α1
It is determined whether ≦1. Now, if YES, proceed to step A4. Then, the contents of the α register 3f are sent again to the calculation section 5, where sin'α is calculated this time, and the result of this calculation is returned to the α register 3f. In this state, the process proceeds to step A5, and the contents of the α register 3f are displayed on the display section 5 as a solution.

Next, the process advances to step A6. In this step A6, it is determined whether the contents of the β register 3Q are 1β1≦1. Now, if YES, proceed to step A7.

Then, the contents of the β register 3g are sent again to the fq calculator 5, where sin'Iβ is calculated this time, and the result of this calculation is returned to the β register 3Q. In this state, the process advances to step 88, where the content of the β register 3Q is displayed on the display 5 as a solution.
will be displayed.

On the other hand, if the determination in step A3 is NO, the process proceeds to step 80. In step 89, it is determined whether the contents of the β register 3Q are 1β1≦1. If it is now determined as YES, the process proceeds to the above-mentioned step Huff, and the content of the β register 3Q is displayed on the display section 3 as the solution.
will be displayed.

On the other hand, if the answer is NO, the process proceeds to step A10, and the display section 5 displays a message to the effect that there is no U solution.

Further, when the content of the α register 3f is displayed as a solution on the display unit 5 in step A5, and the determination in the next step 80 is No, the process advances to step A10, and “no solution” is displayed on the display unit 5. is displayed.

Therefore, with such a configuration, it is possible to obtain the solution to a desired trigonometric equation by simply operating the numeric keys, store instruction key, register selection key, and trigonometric equation key in the key manual section. Moreover, since there is no need to enter a troublesome program that requires time and effort to create, input errors can be completely eliminated, and calculation errors caused by these can be eliminated, and accurate solutions can always be obtained.

Incidentally, the invention is not limited to the above-mentioned embodiments, but can be implemented with appropriate modifications without changing the gist.

For example, in the above embodiment, the trigonometric equation is f (S
i nX) = O), but f (cosx
)=O or f (tanx)=0, even if co
As sx=X, tanx=X, x=αr,..., αn
Find the solution to x = cos't α, to = 1, -n.

If x=tan″1αk is found and solved, the solution can be found in the same way as above.Here, the f [J
- The chart will now look like the one shown in Figure 3. In this case, the third
The diagram is almost the same as described in Figure 2, and step A
Steps 81 to B10 are assigned to the portions corresponding to steps 1 to A10, and the description thereof will be omitted. Further, a flowchart for processing the trigonometric equation f (tanX)=O is shown in FIG. In this case, when the calculation results are written to the α register 3f and β register 3g in steps C1 and C2,
At step C3, t a n "α is humiliated, and this result is displayed on the display section 5 as a solution to the contents of the α register 3f at step C4. Then, at step C5, j a
n (β is calculated, and this result is calculated in step C6.
It comes to be displayed on the display unit 5 as a solution to the contents of the β register 3Q.

Further, although the above description has been made regarding quadratic trigonometric equations, the present invention can also be applied to trigonometric equations other than quadratic.

[Effects of the Invention] According to the present invention, the key operation is a=, there is no operation error, and solutions to trigonometric equations can be accurately obtained.

[Brief explanation of drawings]

FIG. 1 is a block diagram showing the circuit configuration of one embodiment of the present invention, FIG. 2 is a flowchart for explaining the operation of the same embodiment, and FIGS. 3 and 4 are respective examples of other embodiments of the present invention. This is a flow chart 417 for explaining the operation. 1...Key human power department, 1a...Numeric key, 1d...
Store instruction key, 1e...Register selection key, 1f.
...Trigonometric equation key, 2...Control unit, 3...Data storage unit, 38-3Q...Register, 4...Arithmetic unit,
5...Display section. Applicant's representative Patent attorney Takehiko Suzue Figure 2 Figure 3 Figure 4

Claims (1)

[Claims] an input means for inputting numerical data included in at least a trigonometric equation; a plurality of register sections for storing data input from the input means; and an operation section for computing a solution to the trigonometric equation based on the data in these register sections. A small electronic calculator characterized by being equipped with.