Is 1/(sec(θ))=(sec(θ))^{-1} ?

The answer to whether 1/(sec(θ))=(sec(θ))^{-1} is True

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prove 1/(sec(θ))=(sec(θ))^{-1}

prove

\frac{1}{sec ( θ )} = (sec (θ))^{- 1}

True

Solution steps

\frac{1}{sec ( θ )} = (sec (θ))^{- 1}

Manipulating right side

(sec (θ))^{- 1}

Simplify

= sec^{- 1} (θ)

Simplify

= \frac{1}{sec ( θ )}

We showed that the two sides could take the same form

\Rightarrow True

Is 1/(sec(θ))=(sec(θ))^{-1} ?
The answer to whether 1/(sec(θ))=(sec(θ))^{-1} is True