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please do answer this question.this was asked in bitsat 2012. i have my bitsat on the upcoming saturday

please do answer this question.this was asked in bitsat 2012. i have my bitsat on the upcoming saturday
 

Question Image
Grade:12th pass

2 Answers

Himanshu
103 Points
5 years ago
(tan160` – tan110`) / (1 + tan160`.tan110`) = tan(160` – 110`)
= tan50` = tan(20`+30`)
= (tan20`+tan30`) / (1 – tan20`.tan30`)
= (root(3) × p + 1) / (root(3) – p )
Above is the required answer.
Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
5 years ago
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