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If u are asking the prove of the above equation then it is here--:
sin A+cos A=tan A-cot A/(cosec A×secA)
Taking R.H.S:
⇒tan A - cot A×sin A × cos A
⇒sin A/cos A  -  (cos A/sin A)(sin A .cos A)
⇒(sin² A-cos² A.sin A.cos A)/sin A.cos A
⇒(sin A-cos³ A)/cos A
tan A-cos³ A
See the LHS ≠RHS
your given equation is wrong plz check it !
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