Using the addition of two angles formula and sine

The video tutorial explains how to find the sine of 13π/12 by breaking it into two angles, 3π/4 and π/3, using the sum of angles formula. The instructor demonstrates how to calculate the sine and cosine values from the unit circle and combines them to find the solution. The final answer is expressed in a simplified form.

What is the main challenge in finding the sine of 13π/12 directly using the unit circle?

• The unit circle does not include angles greater than π.

• The angle is too large to be on the unit circle.

• The unit circle only includes angles in degrees.

• The angle is not a multiple of π/6, π/4, π/3, or π/2.

Which two angles are used to express 13π/12 in terms of known angles?

• π/2 and π/3

• 3π/4 and π/3

• π/4 and π/6

• π/3 and π/6

What formula is applied to find the sine of the sum of two angles?

• Sine of U plus Sine of V

• Sine of U times Cosine of V plus Cosine of U times Sine of V

• Cosine of U plus Cosine of V

• Sine of U times Sine of V

What is the sine of 3π/4 on the unit circle?

• -√2/2

• √2/2

• √3/2

• 1/2

What is the final simplified expression for the sine of 13π/12?

• √2/4 - √6/4

• 1 - √3

• √3/2

• √2/4(1 - √3)