Are the following statements true or false? If a statement is false, explain why or give an example that shows why it is false.
a. cot x = csc x cos x
b. If cos x = 0, then sin x = 1.
c. cos2 x = 1 - sin2 x
d. tan2 x = tan x2
e. The period of the cosecant function is π.
f. cos(-x) = -cos x
g. sin(x + 4π) = sin x
h. 1 = 2cos2x + sin2x - cos2x
i. 1 = cos x + sin x
j. cos 2π = 2 cos π
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