Verify Identify Cosa bcos a sin b tan a cot b Solutioncos

Verify Identify Cos(a - b)/cos a sin b = tan a + cot b

Solution

cos(a-b)/cosa*sinb = tana +cotb

LHS: cos(a-b)/cosa*sinb

expand cos(a-b) using the formula: cos(a-b) = cosacosb +sinasinb

(cosacosb +sinasinb)/cosa*sinb

= cosacosb/cosa*sinb   + sinasinb/cosa*sinb

= cotb +tana

=RHS