Prove :
cos − + 1
+ −1
= cosec A + cot A, using the identity cosec2
A = 1 + cot2
A
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Answer:
L.H.S. =cosA−sinA+1cosA+sinA−1
=cotA−1+cosecAcotA+1−cosecA " " (divide each term of Nr. And Dr . By sin A)
(cotA cosecA)−1(cotA−cosecA)+1
=(cotA+cosecA)−(cosec2A−cot2A)(cotA−cosecA+1)(∵cosec2A−cot2A=1)
=(cosecA+cotA)(1−cosecA+cotA)(cotA−cosecA+1)
=(cosecA+cotA)(1−cosecA+cotA)(cotA−cosecA+1)
Step-by-step explanation:
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