Calculate the value of sin6 using two terms of the appropria

Calculate the value of sin6° using two terms of the appropriate series. Compare with the value found directly on a calculator.

Solution

6pi deg = 0.3289 (radians)

Serie formula :    sin(x) =x - x^3/3!

Sin(6pi) = sin(0.3289) = 0.3289 - (0.3289)^3/6 = 0.3229

From calculator : Sin(6pi) = sin(0.3289) = 0.3230

There is a difference of 0.0001 between the two values