COSEC A/COSEC A-1 +COSEC A/COSECA+1 = 2SEC2A
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Step-by-step explanation:
Solution
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Given
cosec θ+1
cosec A
+
cosec A−1
cosec A
Taking LCM
cosecA+1
cosecA
+
cosec A−1
cosec A
=
cosec
2
A−1
cosec
2
A−cosec A+cosec
2
A+cosec A
=
cosec
2
A−1
2cosec
2
A
As cosec
2
A−1=cot
2
A
=
cot
2
A
2cosec
2
A
=
sin
2
A
cos
2
A
sin
2
A
2
=2sec
2
A
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