1) BASIC program to find the square root of numbers

To find the square root of a number using BASIC programming language, you can use the built-in mathematical functions. Here’s an example program that calculates the square root:

``````10 PRINT "Enter a number:"
20 INPUT N
30 S = SQR(N)
40 PRINT "The square root of "; N; " is "; S
50 END``````

In this program, the user is prompted to enter a number, which is stored in the variable N. The SQR function is then used to calculate the square root of N, and the result is stored in the variable S. Finally, the program prints out the original number and its square root.

2) BASIC program to find square root of S, round up to an integer:

To find the square root of a number S and round it up to the nearest integer, you can use the INT function in BASIC. Here’s an example program:

``````10 PRINT "Enter a number:"
20 INPUT S
30 R = INT(SQR(S) + 0.5)
40 PRINT "The square root of "; S; " rounded up is "; R
50 END``````

In this program, after taking input from the user and storing it in the variable S, we calculate the square root using SQR function. To round up the result, we add 0.5 to it and then use the INT function to truncate any decimal places. The rounded-up value is stored in the variable R, which is then printed out.

3) BASIC program to find cosine of known values:

To find the cosine of a known value, you can use the COS function in BASIC. Here’s an example program:

``````10 PRINT "Enter an angle in degrees:"
20 INPUT A
30 C = COS(A * 3.14159 / 180)
40 PRINT "The cosine of "; A; " degrees is "; C
50 END``````

In this program, the user is prompted to enter an angle in degrees, which is stored in the variable A. The COS function is then used to calculate the cosine of A. Note that since the COS function expects the angle to be in radians, we convert it from degrees to radians by multiplying with 3.14159 / 180. The result is stored in the variable C and printed out.

4) BASIC program to find tangent of given angles:

To find the tangent of a given angle, you can use the TAN function in BASIC. Here’s an example program:

``````10 PRINT "Enter an angle in degrees:"
20 INPUT A
30 T = TAN(A * 3.14159 / 180)
40 PRINT "The tangent of "; A; " degrees is "; T
50 END``````

In this program, after taking input from the user and storing it in the variable A, we use the TAN function to calculate the tangent of A. Similar to finding cosine, we convert the angle from degrees to radians by multiplying with 3.14159 / 180. The result is stored in the variable T, which is then printed out.

5) Plotting a Sine Wave Curve

Plotting a sine wave curve in BASIC can be achieved by calculating the sine of various angles and displaying them graphically. Here’s a basic example program:

``````10 FOR X = 0 TO 360 STEP 10
20 Y = SIN(X * (PI / 180))
30 PRINT STRING(Y * 50 + 50, "*")
40 NEXT X
50 END``````

In this program, a loop iterates through angles from 0 to 360 degrees with a step of 10 degrees. The `SIN` function is used to calculate the sine of each angle, which is then scaled and displayed graphically using asterisks.