AM-1023

Graphs of sine and cosine

A Math · Secondary 3 · Medium · Graphs of sine and cosine

The function is

y = 5\cos x + 1

, for

0^\circ \le x \le 360^\circ

.
Find the maximum value of

y

and the corresponding value of

x

.

Maximum $y = 6$ at $x = 0^\circ$ or $360^\circ$
Maximum $y = 6$ at $x = 90^\circ$
Maximum $y = 5$ at $x = 0^\circ$ or $360^\circ$
Maximum $y = 1$ at $x = 180^\circ$

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