( cosec a - cos a ) ( tan a + cot a ) = cot a.cosec a
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cosec a + tan a)/(cosec a + cot a)
= (1+sin a)sin a/ cos a (1 + cos a)
= ( (1-cos a)/sin a) / ( (1-sin a)/cos a)
= (cosec a - cot a)/(sec a - tan a)
hence prved
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