How to Prove Trigonometric Identities

Proving trigonometric identities can be challenging, but with the right approach, it becomes manageable. Start by using fundamental trigonometric identities such as $\sin^2(x) + \cos^2(x) = 1$ and $\tan(x) = \frac{\sin(x)}{\cos(x)}$. Then, employ algebraic manipulation and the addition and subtraction formulas to transform one side of the identity into the other. Remember to simplify and be patient. Practice makes perfect, and soon you'll be a pro at proving trigonometric identities! Good luck, Grade 11 math students in South Africa!