In the diagram of a right triangle, with a hypotenuse of 11 and a leg of 4.4, only equations involving sin(theta) and tan(theta) hold true. They are:
sin(theta) = 4.4/11
tan(theta) = 4.4/11
Equations involving cos(theta) are incorrect as they have sin and cos values flipped.
The diagram shows a right triangle with a hypotenuse of length 11 and a leg of length 4.4. The angle opposite the leg of length 4.4 is theta.
Based on the information given in the diagram, we can determine the following:
Sin(theta) = 4.4/11 (This is because sin(theta) = opposite/hypotenuse)
Cos(theta) = 11/4.4 (This is because cos(theta) = adjacent/hypotenuse)
Tan(theta) = 4.4/11 (This is because tan(theta) = opposite/adjacent)
Therefore, equations 1, 3, 5, 7, 9, and 11 are true.
Equations 2, 4, 6, 8, and 10 are not true. This is because they have the values of sin(theta) and cos(theta) reversed.
In summary, the following equations are true:
Sin(theta) = 4.4/11
Cos(theta) = 11/4.4
Tan(theta) = 4.4/11