**Price's Theorem** states that as

- .

**Lemma**

As .

**Proof of lemma**

As hence . Rearranging, the result follows.

**Proof of theorem**

Thus

The result then follows from the lemma.

This theorem is due to Bartholomew Price (1818-1898).

Last modified on 1 April 2011, at 15:12
# Trigonometry/Price's Theorem

**Price's Theorem** states that as

- .

**Lemma**

As .

**Proof of lemma**

As hence . Rearranging, the result follows.

**Proof of theorem**

Thus

The result then follows from the lemma.

This theorem is due to Bartholomew Price (1818-1898).