find a value of a in [0,90] that satisfies the given statement sec a = 1.2934292

the web2 calc handles this easily

[2nd][sec](1.2934292)

$${asec}{\left({\mathtt{1.293\: \!429\: \!2}}\right)} = {\mathtt{39.363\: \!427\: \!756\: \!281^{\circ}}}$$

on othe calcs you often have to do this

$$\\sec \theta = 1.2934292\\ cos\theta = 1/1.2934292\\ \theta= cos^{-1}(1/1.2934292)\\$$

arc cos is the same as inverse cos