Which one of the above 3 trigonometric equations do you need to use? Explain why that is the ratio that works?
To determine which trigonometric equation to use, we need more context or information regarding the specific problem or scenario. Given that there is no information provided, it is not possible to determine which equation to use.
However, in general, the choice of equation depends on the given information or the required unknowns. The three common trigonometric equations are:
1. Sine (sin): relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right-angled triangle. It is expressed as sin(theta) = opposite/hypotenuse.
2. Cosine (cos): relates the ratio of the length of the adjacent side to the length of the hypotenuse in a right-angled triangle. It is expressed as cos(theta) = adjacent/hypotenuse.
3. Tangent (tan): relates the ratio of the length of the opposite side to the length of the adjacent side in a right-angled triangle. It is expressed as tan(theta) = opposite/adjacent.
The appropriate ratio to use depends on the known or unknown quantities in the given problem. In a specific trigonometric problem, the context and the information provided will dictate which equation to use in order to determine the required unknown or solve for a given variable.