Question

सर्वसमिका cosec-A= 1 + cot A को लागू करके
cos A - sin A + 1
COS A + sin A - 1
= cosec A + cot A​

Answer 1

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Answer 2

Step-by-step explanation:

cosA-sinA+1/cosA+sinA-1

devide sinA in both numerator & denominator

cotA-1+cosecA/cotA+1-cosecA

={(cotA+cosecA)-1}(cotA-cosecA)/ (cotA-cosecA+1)(cotA-cosecA)

=cot²A-cosec²A-cotA+cosecA/ (cotA-cosecA+1)(cotA-cosecA)

=-(1+cotA-cosecA)/(cotA-cosecA+1)(cotA-cosecA)

=-1/cotA-cosecA

=1/cosecA-cotA

=cosecA+cotA/cosec²A-cot²A

=cosecA+cotA