Question

find the possible value of cosx : cotx + cosecx =5​

Answer 1

Step-by-step explanation:

cos x/ cot x + cosec x = 5

cos x/ (cos x/ sin x) + 1/sin x =5

sin x+ 1/sin x =5

sin²x-5sin x +1= 0

according to sreedhoracharya's formula,

sin x = 5+√(5²-4*1*1)/2*1

sin x= 5+√(21)/2

x=sin^-1 [5+√21]\2

similarly,

x=sin^-1 [5–√21]\2