Sketch y=|cos x| and y=|tan x| for 0

Question

Sketch y=|cos x| and y=|tan x| for 0 <= x 2pi. Label the zeros and maximum points of the cosine graph, and the zeros and vertical asymptotes of the tangent graph. State which portions are reflected in the x-axis.

Accepted Answer

Cosine zeros: $\dfrac\pi2,\dfrac{3\pi}2$; maxima: $(0,1),(\pi,1),(2\pi,1)$. Tangent zeros: $0,\pi,2\pi$; asymptotes: $x=\dfrac\pi2,\dfrac{3\pi}2$.

Reflected cosine and tangent

Reflected cosine and tangent

Solution:

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