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Question

(1+sinα1+cosα)(1+secα1+cosecα)=tanα.

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Solution

(1+sinα1+cosα)(1+secα1+cosecα)
(1+sinα)(1+cosα)(1+1/cosα)(1+1/sinα)
(1+sinα)(1+cosα).(cosα+1)(sinα+1).sinαcosα=tanα
Hence proved

1189481_1336501_ans_6000fd18937c49df80e910542511e1a3.jpg

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