Question

find acute angle theta satisfy the equation sec square theta + tan square theta =3

Answer 1

theta is equal to 45 degrees as sec 45 is root 2 and tan 45 is 1

Answer 2

sec^2+tan^2=1+tan^2+tan^2=1+2tan^2=3
now 2tan^2=3-1=2  or  2tan^2=2 
tan^2=1    hence tan theta =1  or theta =45 degree   acute-1
for tan theta =-1  theta =135 degree( 2 solution 45,135)  but 45 for acute