Show that f(x) = sin x (1 + cos x) is maximum when a= 3 in the interval [0, - Maths - Application of Derivatives

Question

Show that f(x) = sin x (1 + cos
x) is maximum when a = π 3 in the interval [0, π]

Abhishek Jha · Accepted Answer

Dear Student,
Here is the solution of your asked query:
<img alt="" src=
"https://img-nm%20mnimgs%20com/img/study_content/content_ck_images/images/pic82(1)%20png"
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Regards

Show that f(x) = sin x (1 + cos x) is maximum when a = π 3 in the interval [0, π].

Show that f(x) = sin x (1 + cos x) is maximum when $a = \frac{π}{3}$ in the interval [0, π].