Write the Trigonometric Expression as an Algebraic Expression Containing U $\sin \left( \tan ^ { - 1 } u + \tan ^ { - 1 } v \right)$

question 3

Multiple Choice

Write the trigonometric expression as an algebraic expression containing u and v.
- $\sin \left( \tan ^ { - 1 } u + \tan ^ { - 1 } v \right)$

• A) \(\frac { 1 - u v } { \sqrt { u ^ { 2 } + 1 } \cdot \sqrt { v ^ { 2 } + 1 } }\)
• B) \(\frac { \sqrt { u ^ { 2 } + 1 } \cdot \sqrt { v ^ { 2 } + 1 } } { 1 - u v }\)
• C) \(\frac { \mathrm { u } + \mathrm { v } } { \sqrt { \mathrm { u } ^ { 2 } + 1 } \cdot \sqrt { \mathrm { v } ^ { 2 } + 1 } }\)
• D) \(\frac { 1 + u v } { \sqrt { u ^ { 2 } + 1 } \cdot \sqrt { v ^ { 2 } + 1 } }\)

Apply exchange rate calculations to determine the cost of goods in different currencies.

Calculate the percentage increase or decrease in prices or costs.

Understand the concept of Consumer Price Index (CPI) and its applications in real life.

Calculate the CPI and understand its implications on purchasing power and inflation.

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Definitions:

Average Revenue

The total revenue received by a firm from selling its products divided by the total quantity of the product sold, essentially the average price per unit sold.

Indistinguishable

Unable to be identified as different or distinct when compared to another.

Average Revenue

The amount of money a firm earns per unit of output sold, calculated by dividing total revenue by the quantity sold.

Marginal Cost

The increase or decrease in the total cost that arises when the quantity produced is incremented by one unit.