Without the figure, I can't provide specific calculations. However, I can provide the general formulas for finding sinX, tanX, and cosX.
If ABC~YXZ, then the corresponding angles are equal. Therefore:
- sinX = sin(A), where A is the corresponding angle of X in triangle ABC.
- cosX = cos(A), where A is the corresponding angle of X in triangle ABC.
- tanX = tan(A), where A is the corresponding angle of X in triangle ABC.
To find sin(A), cos(A), and tan(A), you will need to use the ratios of the sides of triangle ABC. The most common way to do this is by using the Pythagorean theorem and the definitions of sine, cosine, and tangent:
- sin(A) = opposite / hypotenuse
- cos(A) = adjacent / hypotenuse
- tan(A) = opposite / adjacent
You will need to identify which side is the hypotenuse, opposite, and adjacent for angle A in triangle ABC. Then, plug in the values into the appropriate formula to find sinX, tanX, and cosX, rounding your answers to the nearest hundredth.