SOLUTION: What is the maximum value of sintheta + costheta

Algebra ->  Trigonometry-basics -> SOLUTION: What is the maximum value of sintheta + costheta       Log On


   

Question 972930: What is the maximum value of sintheta + costheta
Answer by aditya2117(32) About Me  (Show Source):
You can put this solution on YOUR website!
sinx <=1 .............. (1)
again ,
sinx>= -1
sin^2x >= 1
cos^2x <= 0
cosz<=0 ........ (2)
By 1+2
sinx + cosx <= 1
therefore ,
sinx + cosx (max) = 1