Evaluating for sine using the half angle formula

The video tutorial explains how to find the sine of 105 degrees using the half angle formula. It begins by discussing the limitations of using the unit circle and sum and difference formulas for this angle. The instructor introduces the half angle formula and demonstrates its application to solve for sine of 105 degrees. The process involves algebraic simplification and understanding the properties of trigonometric functions in different quadrants. The tutorial concludes with the final simplified expression for the sine of 105 degrees.

What is the sine of 105 degrees based on the half angle formula?

Discuss the importance of the half angle formula in evaluating trigonometric functions.

What is the significance of the second quadrant in determining the sign of sine?

Explain how to find the cosine of 210 degrees using the unit circle.

Describe the process of simplifying the expression sqrt(1 - cos(210 degrees)) / 2.

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