Question

here is my question​

Answer 1

$here \: i s \: your \: answer \\ \\ please \: mark \: it \: as \: the \: brainliest$

❤❤❤

Answer 2

divide the LHS throughout by sinA:

( cosA/sinA - sinA/sinA + 1/sinA)/ ( cosA/sinA + sinA/sinA - 1/sinA)

= cot A - 1 + cosecA / cotA + 1 - cosecA

= cot A + cosec A - ( cosec^2 A - cot^2 A) / cotA +1 - cosec A {reason : 1 =                                                                                             .                                                                                                cosec^2 A - cot^2 A}

= (cot A + cosecA)(1 + cotA - cosec A)/ cotA +1 - cosec A

= cotA + cosecA

LHS = RHS therefore proved.