In a classroom, a teacher explains the properties of a particular curve by saying that this…
Mathematics20254 marksCase based
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)[1.3333333333333333]
Name the curve that the teacher explained in the classroom.
(b)[1.3333333333333333]
Find the area of the curve explained in the passage from 0 to $\frac{\pi}{2}$.
