Question

If cotA-cosA=P.then find cotA+cosecA​

Answer 1

cot A + cos A = p …Let this be eq1

cot A - cos A = q …Let this be eq2

Now,

eq1 + eq2 gives

cot A + cos A + cot A - cos A = p + q

=> 2 cot A = p + q …Let this be eq3

Similarly,

eq1 - eq2 gives

cot A + cos A - cot A + cos A = p - q

=> 2 cos A = p - q …Let this be eq4

Further, multiplying eq3 and eq4, we get…

4cotAcosA=p2−q2