Question

the legs of a right triangle measure 5 inches and 7 inches

Answer 1

Hypotenuse is $\sqrt{5^2+7^2}=\sqrt{74}.$ If $θ$ is the angle between the 7-inch leg and the hypotenuse then

$$\cos \theta=\dfrac{7}{\sqrt{74}}\approx0.8137, \sin\theta=\dfrac{5}{\sqrt{74}}\approx 0.5812$$