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ox. Prove thatcot A+ cosecA-I = It cosaCOLA â COSECAt sina. |
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Answer» LHS:Cosec A + cot A - 1 / cot A - cosec A + 1 we know that,cosec ² A - cot ² A = 1substituting this in the numerator = cosec A + cot A - (cosec ² A - cot ² A) / (cot A - cosec A + 1)x²-y²= (x+y)(x-y) = cosec A + cot A - (cosec A + cot A) (cosec A - cot A) / (cot A - cosec A + 1) = (cosec A + cot A)(1-cosec A + cot A) / (cot A - cosec A + 1) = cosec A + cot A = 1/sin A + cos A/sin A = (1+cos A) / sin A = RHS Hence proved |
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