Learn how to evaluate the tangent of an angle usine sum and formula or two angles

The video tutorial covers the process of adding and subtracting angles using the tangent function. It explains how to rewrite angles in terms of known values and apply the tangent addition formula. The instructor evaluates specific tangent values, such as π/3 and π/6, and demonstrates how to simplify expressions by multiplying with conjugates. The tutorial emphasizes understanding the tangent function and its application in trigonometry.

What is the purpose of rewriting 15 degrees using angles like 60 and 45 degrees?

• To simplify the calculation using known angles

• To make the problem more complex

• To avoid using the tangent formula

• To change the angle to radians

Which formula is used to find the tangent of the sum of two angles?

• Cosine of U plus V

• Sine of U plus V

• Tangent of U plus V

• Tangent of U minus V

What is the tangent of 60 degrees?

• 0

• Square root of 3 over 3

• Square root of 3

• 1

Why is it important to rationalize the denominator in the expression?

• To make the expression longer

• To eliminate radicals from the denominator

• To convert the expression to degrees

• To add more radicals to the numerator

What is the final simplified form of the expression after using the conjugate?

• 1 plus the square root of 3

• -2 minus the square root of 3

• -1 minus the square root of 3

• 2 plus the square root of 3