Evaluate tangent of an angle using the sum formula

The video tutorial covers the process of adding and subtracting angles, focusing on the tangent sum formula. It explains how to evaluate the tangent of specific angles, such as 60 and 45 degrees, and demonstrates the simplification of expressions using conjugates. The tutorial emphasizes the importance of understanding these concepts for solving related mathematical problems.

What is the tangent of 105 degrees expressed as a sum of angles?

• Tangent of 30 degrees plus tangent of 75 degrees

• Tangent of 60 degrees plus tangent of 45 degrees

• Tangent of 90 degrees plus tangent of 15 degrees

• Tangent of 45 degrees plus tangent of 60 degrees

What is the value of tangent for 60 degrees?

• 0

• sqrt 3 / 3

• 1

• sqrt 3

What is the value of tangent for 45 degrees?

• 0

• 1

• sqrt 2

• sqrt 3

Which mathematical operation is used to simplify the tangent expression?

• Division

• Addition

• Subtraction

• Multiplication by conjugate

What is the final simplified form of the tangent expression?

• 3 + sqrt 3 all over 1

• 4 + 2 sqrt 3 all over -2

• 5 + 2 sqrt 3 all over -1

• 2 + sqrt 3 all over 2