CosecA/cosecA-1+ CosecA/CosecA +1 = 2+2tan²A
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Step-by-step explanation:
cosecA²-cot²A=1
follow the above steps
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Answer:
Step-by-step explanation:
To Prove: cosecA/cosecA – 1 + cosecA/ cosecA + 1 = 2 + 2 tan2A
Proof:
In LHS,
On taking LCM we get,
Cosec2A + cosecA + cosec2A – cosecA / cosec2A - 1
= 2 cosec2A/ cot2A
= 2/sin2A x sin2A/cos2A = 2 x 1/ cos2A
In RHS,
2 + 2tan2A = 2(1 + tan2A) = 2 ( 1+ sin2A/cos2A)
= 2 x 1/cos2A
Therefore, LHS = RHS
Hence, proved!!
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