Question

1-tan^2 theta/1+tan^2 theta=1/2 find theta

Answer 1

(1-tan²@)/(1+tan²@) = 1/2,

2-2tan²@ = 1+tan²@,

then

2-1=tan²@+2tan²@,

1=3tan²@,

hence

tan²@=1/3,

tan@=1/√3,

tan@=tan30°,

therefore

@=30°