Q8 Write a program to receive value of an angle in degrees and check whether sum of squares of sine and cosine of this angle is equal to 1.
Program: 66
Write a program to receive value of an angle in degrees and check whether sum of squares of sine and cosine of this angle is equal to 1.
Output
Enter the degree of angle: 45 Result is: 1
Trigonometric functions are functions of an angle which are used to relate the angles of a triangle to the lengths of the sides of a triangle. For example, as depicted below, if we have a right triangle with one angle θ, having a as the opposite, b as the adjacent and c as the hypotenuse, then the following hold true.
sin𝜃=𝑎𝑐 , cos𝜃=𝑏𝑐 and tan𝜃=𝑎𝑏
Write a program that takes the values of the lengths of the hypotenuse (c) and the adjacent (b) from a user and finds angle 𝜽 by passing these lengths to the function findAngle. After finding and returning the angle 𝜽, your program should covert the angle 𝜽 from degrees into radians using the formula shown below: 𝑟𝑎𝑑𝑖𝑎𝑛𝑠= 𝜋180°×𝑑𝑒𝑔𝑟𝑒𝑒𝑠
The calculated angle 𝜽 should then be displayed both in degrees and radians on the screen.