Question

If abcd is a quadrilateral then tan(a+b/4)

Answer 1

hii mate

if ABCD is a quadrilateral,
we know that sum of opposite angles is 180degree
therefore, a+b=180
tan (180/4)=tan45=1

Answer 2

Answer:

cot {C+D/4}

Step-by-step explanation:

Since in a Quadrilateral,

A+B+C+D=360 degrees , which is equal to 2 pi

A+B = 360 degree - (C+D)

       = 2 pi - (C+D)

Tan {A+B /4} => tan [ 2 pi -(C+D) / 4]

                     = tan [ 2 pi / 4 - (C+D) /4]

                     = tan [ pi /2 - (C+D)]

Since, tan (90 degree - theta) = cot theta

Tan {A+B /4 } = Cot {C+D /4}