Question

prove that ÷ cosec a+cot a+1/cosec a-cot a+1=1+cos a/sin a
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Answer 1

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)

=cosecA+cotA=R.H.S.

Step-by-step explanation: