Describe geometrically the transformations which map: a. The graph of y = tan x onto the graph

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Describe geometrically the transformations which map:

a. The graph of y = tan x onto the graph of tan 1/2 x

b. The graph of y = tan 1/2 x onto the graph of 3 + tan 1/2 x

c. The graph of y = cos x onto the graph of −cos x

d. The graph of y = sin (x − 10) onto the graph of sin (x + 10).

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