· If cosh x = sec 0 then prove that tanh?
2
= tan
2.​

· If cosh x = sec 0 then prove that tanh?
2
= tan
2.​

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Raelynn

1 thought on “<br />· If cosh x = sec 0 then prove that tanh?<br />2<br />= tan<br />2.​”

  1. We know Tanh2 x/2

    = cosh x – 1 / cosh x + 1

    = sec 0 – 1 / sec 0 + 1

    = 1 – cos 0 / 1 – cos 0 = 2 sin²(0/2) / 2cos²(0/2)

    = Tan2 θ/2

    ∴ Tanh2 x/2 = Tan2 θ/2

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