Math, asked by kanchikariya2, 10 months ago

CosecA/cosecA-1+ CosecA/CosecA +1 = 2+2tan²A

Answers

Answered by raju35652
1

Step-by-step explanation:

cosecA²-cot²A=1

follow the above steps

Attachments:
Answered by Prithvimar05
0

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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