Question

Rohan011 please.............

Answer 1

this is your answer.☺️☺️☺️☺️

Answer 2

LHS = ( sec ∅ - cosec ∅) ( 1 + tan∅ + cot∅)
= sec ∅ - cosec ∅ + tan∅ sec ∅ - tan∅ cosec∅ + cot ∅ sec∅ - cosec ∅ cot∅
= sec ∅ - cosec ∅ + tan∅ sec∅ - sin ∅ / cos ∅ * 1/sin ∅ + cos ∅ / sin ∅ * 1 / cos ∅ - cosec ∅ cot ∅
= sec ∅ - cosec ∅ + tan ∅ sec ∅ - 1/cos ∅ + 1/sin∅ - cosec∅ cot ∅
= sec ∅ - sec ∅ - cosec ∅ + cosec ∅ + tan ∅ sec∅ - cosec ∅ cot ∅
= tan ∅ sec ∅ - cosec ∅ cot ∅
= RHS
∴ LHS = RHS
Hence , proved .

Hope this helps you !!
#Dhruvsh