Select the functions that have identical graphs.
-(i) $y = \sin x$
(ii) $y = \cos \left( x + \frac { 3 \pi } { 2 } \right)$
(iii) $y = \cos x$
A) $i$ and iii
B) ii and iii
C) $i$, ii and iii
D) $\mathrm { i }$ and ii

Question

Quizplus · Accepted Answer

The graph of $y = \sin x$ is identical to the graph of $y = \cos \left( x + \frac { 3 \pi } { 2 } \right)$ because shifting the cosine function by $\frac{3\pi}{2}$ units horizontally results in the sine function. The graph of $y = \cos x$ is different from both.

Select the Functions That Have Identical Graphs y=sin⁡xy = \sin xy=sinx

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