Find the value of tanA+tanB+tanC/sin2A+sin2B+sin2c

Find the value of

if A + B + C = 0

(a) ½ cosA cosB cosC

(b) ¼ secA secB secC

(c) ½ secA secB secC

(d) ½ secA cosB cosecC

Sol:

As we know that: tanA + tanB + tanC = tanA tanB tanC

Sin2A + sin2B + sin2C = 4 sinA sinB sinC