Question

if tan theta + cot theta is equal to 2 find sin theta

Answer 1

tan@+cot@=2,

tan@+1/tan@=2,

(tan²@+1)/tan@ =2,

tan²@+1=2tan@,

tan²@-2tan@+1=0,

tan²@-(1+1)tan@+1=0,

tan²@-tan@-tan@+1=0,

tan@(tan@-1)-1(tan@-1)=0,

(tan@-1)(tan@-1)=0,

therefore

tan@-1=0,

tan@=1,

tan@=tan45°,

@=45°