sec2 @÷tan2 @ + cosec2 @÷cot2 @= sec2@× cosec2 @
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Step-by-step explanation:
sec2 @÷tan2 @ + cosec2 @÷cot2 @= sec2@× cosec2 @
LHS,
⇒1/cos2@÷sin2@/cos2@+1/sin2@÷cos2@/sin2@
cancelling cos2@ and sin2@
⇒1/sin2@+1/cos2@
Take LCM,
⇒(sin2@+cos2@)÷sin2@×cos2@
⇒1÷(sin2@×cos2@)
⇒sec2@× cosec2 @
therefore,
LHS=RHS
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