Question

tan theta =3/4 find 2 sec theta / 1+ tan² theta​

Answer 1

tan theta=3/4

sec^2 theta= 1+tan^2theta

=1+(3/4)^2

= 1+9/16

=25/16

sec theta=√25/16

=5/4

2sectheta /1+tan^theta =(2×5/4)/25/16

=8/5 (Answer)