(i) Show that the -coordinates of all maximum points of are given by…

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

(i) Show that the

x

-coordinates of all maximum points of

y = \sin x

are given by

x=\dfrac{\pi}{2}+2\pi n,\;n\in\mathbb{Z}

. (a) Show that the

x

-coordinates of all maximum points of

y = \sin x

are given by

x=\dfrac{\pi}{2}+2\pi n,\;n\in\mathbb{Z}

. (b) Write the coordinates of the first maximum point to the right of the origin.