Question

if cot +tan=2 then show that cot×cot+tan+tan =2

Answer 1

cot@+tan@=2,

1/tan@ + tan@=2,

(1+tan²@)/tan@ =2,

tan²@-2tan@+1=0,

(tan@-1)²=0,

tan@-1=0,

tan@=1,

tan@=tan45°,

@=45°,


therefore

cot²45° + tan²45°,

(1)² + (1)²,

1+1,

2