Deduce the minimum value of sinx+cosx and give the corresponding values of x, for x E [-360;360]

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

Then compute critical points of a derivative

.

Then evaluate at .

You will obtain global maxima and global minima respectively.

The answer is .

Hope this helps.

c

-by-step explanation:

it would be c

the answer is "add 2y and y"

step-by-step explanation:

you need to collect the like terms first.