if m=sin +cos theta and n = sec theta+cosec theta then prove that n(m2 -1)=2m
Answers
Answered by
3
=(sec@+Cosec@)((cos@+sin@)^2-1))
=1/cos@+1/sin@((cos^2@+sin@^2@+2sin@cos@-1)
=(1/cos@+1/sin@)(1+2sin@cos@-1)
=(1/[email protected]@.cos@)+(1/[email protected]@cos@)
=2sin@+2cos@
2m
=1/cos@+1/sin@((cos^2@+sin@^2@+2sin@cos@-1)
=(1/cos@+1/sin@)(1+2sin@cos@-1)
=(1/[email protected]@.cos@)+(1/[email protected]@cos@)
=2sin@+2cos@
2m
Similar questions