Establish the Identity $$( \sin x ) ( \tan x \cos x - \cot x \cos x ) = 1 - 2 \cos ^ { 2 } x$$

question 288

Essay

Establish the identity.
- $$( \sin x ) ( \tan x \cos x - \cot x \cos x ) = 1 - 2 \cos ^ { 2 } x$$

---

Definitions:

Capital Goods

Long-term assets such as buildings, machinery, and equipment purchased by businesses to produce goods and services.

Terms of Trade

The ratio of an index of a country's export prices to an index of its import prices, used to measure the relative trading advantage or disadvantage.

Consumption

The use of goods and services by households, constituting one of the primary components of GDP.

Developing Nations

Countries with a lower living standard, undeveloped industrial base, and low Human Development Index (HDI) relative to other countries.