Question

If A, B and C are interior angles of ∆ABC, then show that : tan(angle A+Angle B/2)=cot angleC/2.
urgent!!!!!!!

Answer 1

Hi there :)

Look at the attachment.

Thanks ♥️

Answer 2

⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐


We know that the angle sum property of a triangle is always equals to 180°.

Therefore,

L. H. S.

<A + <B +<C = 180°

=> <A+<B = 180°-<C


Now, tan {(<A+<B)/2}

= tan {(180°-C)/2}

= tan { 90°-C/2 }

= cot C/2 [Since, tan(90°-theta) = cot theta]

= R. H. S.

Thus, L. H. S. = R. H. S. (PROVED)


==================================

⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

==================================