Trigonometry

Asked by Yash Chauhan | 21st Nov, 2012, 06:01: AM

Expert Answer:

L.H.S.

= (1 + cos A/sin A - 1/sin A ) (1 + sin A/cos A + 1 / cos A )

= (sin A + cos A - 1 / sin A ) (cos A + sin A + 1 / cos A )

= (sin A + cos A )² - (1)² / sin Acos A

= (sin²A + cos²A) + 2sin Acos A - 1 / sin Acos A

= 2sin Acos A / sin Acos A

= 2 = R.H.S.

Answered by  | 21st Nov, 2012, 09:55: AM

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