sec a-tan a÷cosec a+cot a=cosec a+cot a÷seca-tana
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= (sec a + tan a)/(cosec a + cot a) (1+sin a)sin a/ cos a (1 + cos a) = ( (1-сos a)/sin a) / ( (1-sin a)/cos a) (cosec a - cot a)/(sec a - tan a)
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sec attan a/cosec a tcot a=cosec a -cot
a/sec a-tan a prove it
devanshs370 Helping Hand
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32 2.0
= (sec a + tan a)/(cosec a + Cot a)
(1+sin a)sin al cos a (1 +cos a)
( (1-cos al/sin a) /(1-sin a)/cos a)
= (coseca - cot a)/(sec a tan a)
hence proved
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