Prove that cos ⁡ arctan ⁡ 1 / 2 = 2 / 5

Micaela Simon

Micaela Simon

Answered

2022-06-30

Prove that cos arctan 1 / 2 = 2 / 5

Answer & Explanation

Cristian Hamilton

Cristian Hamilton

Expert

2022-07-01Added 23 answers

Let tan 1 ( 1 2 ) = θ , Then 1 2 = tan θ
So cos [ tan 1 ( 1 2 ) ] = cos θ = 1 sec θ = 1 1 + tan 2 θ = 2 5

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