How do you find the exact values of ${tan}^{- 1} (0)$ $tan^-1(0)$ ?

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Answer 1 · 2017-04-20T18:54:23

$arctan 0 = 0$ $arctan0=0$

Let $θ = arctan 0$ $theta=arctan0$

$tan θ = 0$ $tantheta=0$

$tan θ = \frac{sin θ}{cos θ} = 0$ $tantheta=sintheta/costheta=0$

$sin0=0therefore$

$theta=0$

$arctan0 =0$

Note: $theta$ can take other values such that $tantheta=0$ , but taking $arctan0$ would not equal these values.

How do you find the exact values of tan^-1(0)tan−1(0)tan^-1(0)?