The process of expansion using sum/difference formulas is a technique that utilizes trigonometric identities to restructure or simplify complex expressions. This practice commonly leverages the sum/difference formulas for sine and cosine. The applications are extensive, including equation solving, expression simplification, and practical applications like signal processing. These formulas also play an essential role in calculus, particularly when it comes to the integration or differentiation of trigonometric functions.
| Topic | Problem | Solution |
|---|---|---|
| None | Use a sum or difference formula to find the exact… | The given expression is in the form of the sum of products of sine and cosine of two angles. This i… |
| None | Write the expression as a function of $x$, with n… | Given the expression \(\cos \left(\frac{\pi}{6}+x\right)\) |
| None | Write the expression as a function of $\theta$, w… | We know that \(\cos (a - b) = \cos a \cos b + \sin a \sin b\). |