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Step-by-step explanation:
Given:-
⇒x=cosecA+cosA
⇒y=cosecA−cosA
To prove:-
⇒( x+y) 2+( 2x−y )2 −1=0
∴x+y=cosecA+cosA+cosecA−cosA=2cosecA
x−y=cosecA+cosA−cosecA+cosA=2cosA
∴( x+y) 2+( 2x−y ) 2−1=( 2 cosec A2)2 +(2cosA )2−1
⇒(sinA) 2+(cosA) 2−1
⇒sin 2 A+cos 2 A−1
⇒1−1
⇒0
Hope it helps you..
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