Let r be the shaded region in the first quadrant enclosed by the y-axis and the graphs of y=sinx and y=cosx.

a) find the area of r
b)find the volume of the solid generated when r is revolved about the x-axis
c)find the volume of the solid whose base is r and whose cross sections cut by planes perpendicular to the x-axis are squares

muyb ajo

step-by-step explanation:

jegosu

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).