Question

I want to know the curb of sinx and cosx

Answer 1

For further understanding you can refer to the YouTube video.

P.S.: Variable x is in terms of radians here.

Edit 1: Thanks for pointing out Adithya Shashidhara that [ ] may mean the least integer function.

Clearly f(x) = Sin x + Cos x = √2 Sin(x+45°) whose graph is shown above. It reaches ±1 at x = 0°, ±90°, 135° and so on. So the function g(x) = [Sin x + Cos x] will be

g(x) = -1 if -180° < x < -135° ;

-2 if -135° < x < -45° ;

-1 if -45° < x < 0° ;

0 if 0° < x < 45° ;

1 if 45° < x < 135 ;

0 if 135° < x < 180°.

Answer 2

hiiii frnd ......
here is your answer.....

curve of sinx passes through origin...
while
curve of cosx doesn't passes through origin.....

At maximum the curve of sinx and cosx goes from +1. to -1 on y- axis and on x-axis it can go to infinity.....

Hope my answer helps you.....