Arthur D. answered 02/15/18
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(1+sin)/sin+(cot-cos)/cos=2/sin
(1+sin)/sin+([cos/sin]-cos)/cos=
(1/sin)+1+([cos/sin]-[sincos/sin]/cos=
(1/sin)+1+([cos-sincos]/sin)/cos=
(1/sin)+1+(cos-sincos)/sincos=
(1/sin)+1+(cos/sincos)-(sincos/sincos)=
(1/sin)+1+(1/sin)-1=
(1/sin)+(1/sin)=
2/sin