Math, asked by annie6585, 1 year ago

1/secA-1 + 1/secA+1 = 2cosecAcotA

Answers

Answered by nirjalsharma100

4

Step-by-step explanation:

L.H.S.

= 1/(secA-1) + 1/(secA+1)

= (secA+1+secA-1)/(secA-1)(secA+1)

= 2secA/(sec²A-1)

= 2secA/tan²A

= 2×1/cosA×cos²A/sin²A

= 2×1/sinA×cosA/sinA

= 2cosecAcotA

∴L.H.S. = R.H.S. proved

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