Use the definitions of the circular functions to rewrite the right side of the following equations in terms of cos x and sin x. Then simplify to determine whether the resulting equation is an identity (a true statement for all values in which both sides are defined)
a. tan x = tan2 x • csc x • cos x
b. 1 = tan2 x • cos2 x + cot2 x • sin2 x
c. sec x = cot x • sin x • csc x • sec x
d. cot x = sec2 x • cos x • sin x
e. 1 = 2 sin2 x + cot2 x • sin2 x - sin2 x
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