Question

cosec A+ cot A= 11/2 then tan A?

Answer 1

 cosecA +cotA =11/2 
or 1/sinA + cosA/sinA = 11/2 
or 1+ cosA/sinA = 11/2 
2 cos^2A/ 2 / 2sinA/ cosA/2 = 11/2 
cotA/2 =11/2 
so tanA/2 = 2/11 
so tanA = 2 tanA/2/( 1- tan^2A/2 
={ 2* 2/11}/( 1- 4/121) 
= (4/11)/ (117/121) 
=4/11* 121/117 
=44/117

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Answer 2

hello buddy,,,,

cosecA +cotA =11/2 
or 1/sinA + cosA/sinA = 11/2 
or 1+ cosA/sinA = 11/2 
2 cos^2A/ 2 / 2sinA/ cosA/2 = 11/2 
cotA/2 =11/2 
so tanA/2 = 2/11 
so tanA = 2 tanA/2/( 1- tan^2A/2 
={ 2* 2/11}/( 1- 4/121) 
= (4/11)/ (117/121) 
=4/11* 121/117 
=44/117