What is arccos(r/(cos(θ))) ?

The solution to arccos(r/(cos(θ))) is arccos(rsec(θ))

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simplify arccos(r/(cos(θ)))

simplify

arccos (\frac{r}{cos ( θ )})

arccos (r sec (θ))

Solution steps

arccos (\frac{r}{cos ( θ )})

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= arccos (r sec (θ))

sin (x + \frac{5 π}{12})

3 sin (θ - 6 0^{\circ}) - sin (θ)

- 1 - (cos (x - c))^{2}

(sec^{2} (π x) - 1)^{3}

\frac{1}{1 - sin ^{2} ( a )}

What is arccos(r/(cos(θ))) ?
The solution to arccos(r/(cos(θ))) is arccos(rsec(θ))