Question

Sin@ (1+tan@) + cos@ (1+cot@) = sec@+cosec@

Answer 1

lhs= sin@*1+sin@/cos@+cos@*1+cos@/sin@
sin^2@+sin@cos@/cos@+cos^2@+sin@cos@/sin@

sin^2@+cos^2@+2sin@cos@/sin@+cos@

(sin@+cos@)^2/sin@+cos@