Question: a. Prove, by counter-example, that the statement sec (A + B) sec A + sec B, for all A and B is false. b.

a. Prove, by counter-example, that the statement sec (A + B) ≡ sec A + sec B, for all A and B is false.

b. Prove that tan θ + cot θ ≡ 2 cosec 2θ, θ ± nπ/2, n ∈ Z.

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