Prove each of these identities. a. (1 + sec x) (cosec x cot x) = tan

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Prove each of these identities.

a. (1 + sec x) (cosec x – cot x) = tan x

b. (1 + sec x)(1 – cos x) = sin x tan x

c. tan2 x – sec2 x + 2 = cosec2 x – cot2 x

d. (cot x + tan x) (cot x – tan x) = cosec2x – sec2 x

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