the value of cot theta + cosec theta -1 / cot theta - cosec theta + 1
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Answer: The answer is cosec theta+cot theta
replace A in the following with theta to get the accurate answer.
Step-by-step explanation:(cotA+cosecA-1)/(cotA-cosecA+1)
=(cotA+cosecA-1)²/(cotA+cosecA-1)(cotA-cosecA+1)
=(Cot²A+cosec²A+1+2cotAcosecA-2cotA-2cosecA)/(cot²A-cosec²A-1+2cosecA)
={2cosec²A-2cosecA+2cotA(cosecA-1)}/(2cosecA-2)
={2cosecA(cosecA-1)+2cotA(cosecA-1)}/2(cosecA-1)
=2(cosecA-1)(cosecA+cotA)/2(cosecA-1)
=cosecA+cotA
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