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62, Prove that: (1 + cot A-cosec A)(1 + tan A +sec A) 2.CRSE 200 |
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Answer» L.H.S = ( 1+ cota-coseca) ( 1+ tana -seca) = (1+cosa/sina-1/sina) (1+sina/cosa-1/cosa) = (sina+cosa-1/sina) (cosa+sina-1/cosa) = ((sina+cosa) - (1)/sina) ((cosa+sina) - (1)/cosa) = ((sina+cosa)raise to power2 - (1)raise to power 2)/sinacosa = sin2a+cos2a+2sinacosa-1/sinacosa = 1+2sinacosa-1/sinacosa (because sin2a+cos2a=1) = 2sinacosa/sinacosa =2 =R.H.S |
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