In previous class, we have discussed basic identities, trigonometric ratios and their applications in finding the distances between two real life objects. Now we extend the concept of trigonometric ratios to trigonometric functions. In this chapter, we will discuss about measurement of angles, conversion of angles from radian to degree and vice-versa, Definition of trigonometric functions with the help of unit circle, signs of functions in quadrants, domain, range and graph of functions, sum & product formulas, multiple angles formulas. General Solution of trigonometric equations.
Number of revolutions made by the wheel in 1 minute = 360
∴Number of revolutions made by the wheel in 1 second =360/60 = 6
In one complete revolution, the wheel turns an angle of 2π radian.
Hence, in 6 complete revolutions, it will turn an angle of 6 × 2π radian, i.e.,
12 π radian
Thus, in one second, the wheel turns an angle of 12π radian.