"$$ \\cos^{-1}\\left(-\\frac{1}{2}\\right) = arccos \\left(-\\frac{1}{2}\\right) = \\frac{2π}{3}$$\n", "$$ \\tan^{-1}\\left(-\\frac{1}{\\sqrt{3}}\\right) = arctan ...

In circular functions like sine and cosine, equations can have multiple solutions within a specific interval. If all possible values are considered, these functions can have infinitely many solutions.

Practise solving trigonometric equations in degrees or radians using CAST and its period to find other solutions within the range, including multiple or compound angles and the wave function.

Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation. Effective strategies ...