Find the area between y=4sinx and y=10cosx over the interval [0, pi] . Sketch the curves if necessary.

How do I determine the intersection point of the 2 curves so that I can calculate area of the 2 different regions?

Question

Find the area between y=4sinx and y=10cosx over the interval [0, pi] . Sketch the curves if necessary.

How do I determine the intersection point of the 2 curves so that I can calculate area of the 2 different regions?

anonymous · Answer

Just make the two equations equal to each other for y coordinate 

4 sinx = 10 cosx

anonymous · Answer

Now determine x

anonymous · Answer

Hallo across! : )

anonymous · Answer

Right. I got to that part, but how would I determine the value of x? It isn't one that is easily found without doing a lot of guessing and checking.

anonymous · Answer

anonymous · Answer

tan x = 2.5 Now use calculator

anonymous · Answer

pellet. Now I feel dumb because I never thought to bring the cos function over to the left side and divide the 10 by the 4. Duh. Thank you.

anonymous · Answer

Lol : )