How to determine the function and angle given an expression

The video tutorial covers evaluating angles using trigonometric formulas, including sine, cosine, and tangent. It explains how to identify and apply sum and difference formulas to solve angle problems. The tutorial emphasizes understanding the structure of these formulas and distinguishing between addition and subtraction in trigonometric contexts. Key points include recognizing formula types and applying them correctly to determine angles.

What is the primary purpose of evaluating angles using trigonometric formulas?

• To solve algebraic equations

• To calculate the area of a triangle

• To find the exact angle from an expression

• To memorize the formulas

Which formula represents the cosine of the sum of two angles?

• cos(U + V) = tan(U) + tan(V) / 1 - tan(U)tan(V)

• cos(U + V) = sin(U)cos(V) + cos(U)sin(V)

• cos(U + V) = cos(U)cos(V) - sin(U)sin(V)

• cos(U + V) = sin(U)sin(V) + cos(U)cos(V)

How can you identify a difference formula for sine?

• By confirming it is a rational expression

• By checking if the formula has only addition

• By looking for mixed sine and cosine terms with subtraction

• By ensuring all terms are cosine

What is a key characteristic of the tangent formula?

• It is always a sum formula

• It is the only rational formula among sine and cosine

• It involves only cosine terms

• It is always a difference formula

Why is it important to distinguish between sum and difference formulas?

• Because they determine whether to add or subtract angles

• Because they are only applicable to tangent

• Because they are interchangeable

• Because they are used in different mathematical fields