Select the functions that have identical graphs.
-(i) $y = \cos x$
(ii) $y = \cos \left( x - \frac { 5 \pi } { 2 } \right)$
(iii) $y = \sin x$
A) $i$ and ii
B) $\mathrm { i }$ and iii
C) ii and iii
D) $i$, ii and iii

Question

Quizplus · Accepted Answer

The graph of $y = \cos \left( x - \frac { 5 \pi } { 2 } \right)$ is identical to the graph of $y = \sin x$ because the cosine function shifted by $\frac{5\pi}{2}$ radians is equivalent to the sine function due to the periodic properties of trigonometric functions.

Select the Functions That Have Identical Graphs y=cos⁡xy = \cos xy=cosx

Select the Functions That Have Identical Graphs $y = \cos x$