Question

If a b c are interior angle of triangle then show that tan (c+a)/2 = cot (b/2 )

Answer 1

Answer:

Step-by-step explanation:

If a b c are interior angle of triangle

then a+b+c=180

c+a=180-b

(c+a)/2=(180-b)/2=90-b/2

(c+a)/2=90-b/2

tan(c+a)/2=tan(90-b/2)=cotb/2

tan(c+a)/2=cot b/2

proved