Question

tan^2a+3=3seca find a?

Answer 1

you have tan^2X= sec^2X -1
subtitute it into the eqn, we have (sec^2a -1) + 3 =3seca
<=> sec^2a - 1 +3 = 3seca
<=> sec^2a +2 -3seca = 0
<=> seca= 2 or seca = 1
seca=1/cosa so 1/cosa=2 or 1/cosa=1
therefore cosa = 0.5 or 1
so a = 60 or 360, and depends on the range of answers they allowed, just adjust your ans using the astc circle