Question

How to find the minimum value of sinX + cosX?

Answer 1

Take the derivative of y, set it equal to zero, then solve for x

Answer 2

i.e cosX -sinX = 0

Answer 3

cosXsinX = 1/2

Answer 4

How to proceed further?

Answer 5

wait a sec

Answer 6

Okay, I will provide the full solution here

Answer 7

0 = cosx - sinx
sinx = cosx

sin x/cos x = 1

tan x = 1

x = tan^-1(1)

x = 45

I suppose that would be the minimum value

Answer 8

Unless you're supposed to add 180 to that and get 225

Answer 9

That would put x in the third quadrant which would be negative

Answer 10

exactly...!

Answer 11

Okay :)

Answer 12

thanks buddy!!!!

Answer 13

You're welcome