1. The problem is to understand and apply the SOHCAHTOA mnemonic along with sine and cosine functions to solve right triangle problems. 2. SOHCAHTOA helps remember the definitions of sine, cosine, and tangent: - Sine ($\sin$) = Opposite / Hypotenuse - Cosine ($\cos$) = Adjacent / Hypotenuse - Tangent ($\tan$) = Opposite / Adjacent 3. Using only sine and cosine means focusing on: - $\sin(\theta) = \frac{\text{Opposite}}{\text{Hypotenuse}}$ - $\cos(\theta) = \frac{\text{Adjacent}}{\text{Hypotenuse}}$ 4. To find a missing side or angle: - Identify the angle $\theta$ and the sides relative to it (opposite, adjacent, hypotenuse). - Use $\sin(\theta)$ or $\cos(\theta)$ formulas. - Rearrange to solve for the unknown side or angle. 5. Example: Given angle $\theta$ and hypotenuse $h$, find opposite side $o$: $$ o = h \times \sin(\theta) $$ 6. Similarly, to find adjacent side $a$: $$ a = h \times \cos(\theta) $$ 7. Remember to use a calculator in degree or radian mode consistent with the angle measure. This approach allows solving right triangles using sine and cosine functions effectively.