135k views
4 votes
What is the maximum value of Sinx+cosx

1 Answer

3 votes

The answer is 2 since both


\sin(x),\cos(x)\in[0,1]

The maximum value of
\sin(x) is 1 and the same for cosine. The sum becomes 1 + 1 which evaluates to 2.

Hope this helps.

User Hoborg
by
7.9k points