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or....
( sinπ+cosπ)(tanπ+cotπ)=secπ+cosecπ
L..H..S
(sinπ+cosπ)(sinπ/cosπ+cosπ/sinπ)
(sinπ+cosπ)(sin²π+cos²π/cosπsinπ)
(sinπ+cosπ)(1/cosπsinπ)sinπ+cosπ/cosπsinπ
=>sinπ/cosπsinπ +cosπ/cosπsinπ
=> 1/cosπ + 1/sinπ
=> secπ+ cosec π
proved.....☺️✌️
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