How do you write the equation $tan θ = x$ $tantheta=x$ in the form of an inverse function?

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Answer 1 · 2018-03-17T11:26:58

$θ = {tan}^{- 1} x$ $theta = tan ^ -1 x$

$tan θ = x$ $tan theta = x$

${tan}^{- 1} (tan θ) = {tan}^{- 1} x$ $tan ^-1 (tan theta) = tan ^-1 x$ taking inverse on both sides.

But ${tan}^{- 1} (tan θ) = θ$ $tan ^-1 (tan theta) = theta$

$:. theta = tan ^ -1 x$

How do you write the equation tantheta=xtanθ=xtantheta=x in the form of an inverse function?