In a classroom, a teacher explains the properties of a particular curve by saying that this…
Mathematics20254 marksLong answer
In a classroom, a teacher explains the properties of a particular curve by saying that this particular curve has beautiful ups and downs. It starts and heads down until $\pi$ radian, and then heads up again and is closely related to sine function. Both follow each other at exactly $\frac{\pi}{2}$ radians apart as shown in the figure given below:
Based on the above information, answer the questions that follow.
(a)
Name the curve that the teacher explained in the classroom.
(b)
Find the area of the curve explained in the passage from 0 to $\frac{\pi}{2}$.
