Question

PLZ SOLVE IT.

10 points

☺

Answer 1

cosec a + cot a = 11/2

cosec a - cot a = 1 / (cosec a + cot a) ...from cosec^2 - cot^2 = 1

cosec a - cot a = 2/11

subtract both the equation
2 cot a = 11/2 - 2/11
2 cot a = 117/22
cot a = 117/44
tan a = 44/117

Answer 2

$Heya$‼


cosec A + cot A = 11 / 2

cosec A = 11 / 2 – cot A


$Squaring\:both\:sides$

cosec²A = ( 11 / 2 – cot A )²

cosec²A = 121 / 4 + cot²A – 11 cotA

cosec²A – cot²A = ( 121 – 44 cot A ) / 4

1 = ( 121 – 44 cot A ) / 4

4 = 121 – 44 cot A

44 cot A = 121 – 4

44 cot A = 117

cot A = 117 / 44


$As\:we\:know,$

cot A = 1 / tan A


$Therefore,$tan A$=44 / 117$