Half angle formulas are mathematical equations that are used to find the trigonometric values of angles that are half the size of a given angle.
Half angle formulas are important because they allow us to simplify complex trigonometric expressions and solve problems that involve angles that are not easily measured or calculated.
"No negative square roots" means that when using half angle formulas, the resulting values should always be positive. This is because negative square roots do not have real solutions.
To use half angle formulas, you first need to determine the type of angle you are working with (such as sine, cosine, or tangent). Then, plug in the given angle into the formula and solve for the half angle value.
One limitation of using half angle formulas is that they can only be applied to certain types of angles, such as those that are multiples of 30, 45, or 60 degrees. Additionally, they may not always provide exact solutions and may require rounding to get an approximate answer.