Question

sec squared theta + cosec squared theta is equal to 6 square theta into cosec squared theta

Answer 1

sec²@+cosec²@
=sec²@cosec²@
LHS,1/cos²@+1/sin²@
=sin²@+cos²@/(sin²@cos²@)=
1/sin²@×1/cos²@
=sec²@cosec²@

Answer 2

let the theta be x.

secx=1/cosx cosecx =1/sinx

that is when we take LHS=1/cos squarex + 1/sin squarex

= sin square x+cos squarex/sin squarex *cos square x

1/sin square x*cos square x

1/1/cosec square x*1/sec square x

=cosec square x*sec square x