Question

If cot A+1/cotA=2 find the value of cotsq. A+1/cotsq. A​

Answer 1

givencotA+1/cotA=2
let x=cotA
then x+1/x=2
squaring on both sides we get
x2+1/x2+2=4
so x2+1/x2=2
substituting x=cotA in above expression we get
cot2A+1/cot2A=2