Consider the following statements concerning

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

\triangle ABC

. Prove that (i)

\Rightarrow

(ii)

\Rightarrow

(iii)

\Rightarrow

(i). (i) The sides

a

b

c

and area

\Delta

are rational. (ii)

a

\tan\frac{B}{2}

, and

\tan\frac{C}{2}

are rational. (iii)

a

\sin A

\sin B

, and

\sin C

are rational.