If #sec theta =2# and the angle #theta# is acute,what is equivalent of #theta#?

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Answer 1 · 2018-02-05T13:21:57

#theta=pi/3"rad"#, or #60^@#

#sectheta=2#

We must find #sec^-1(2).#

If #sectheta=2#, then #1/costheta=2#.

It therefore follows that #costheta=1/2#

And #cos^-1(1/2)=pi/3#.

So here, #theta=pi/3"rad"#.

This is an acute angle, so it is right.