For the following question, select all the answer choices that apply. Which of the following are values of $k$ for which the graphs of $y = \cos x$ and $y = \sin (x + k)$ coincide? Select all that apply. (A) $\frac{\pi}{2}$ (B) $\frac{3\pi}{2}$ (C) $\frac{5\pi}{2}$ No answer text provided. C No answer text provided. B A
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So, if we want the graphs of y = cos x and y = sin x + k to coincide, we need to shift the graph of y = sin x to the left by k units. This means that k should be equal to -π/2. However, none of the given options (-π/2, 3π/2, 5π/2) are equal to -π/2. Show more…
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