Kuna P.

asked • 06/04/16

could some one help me out?

how can I proof that( sine alpha + cos alpha) <= 1/2, using the fact that sine (- beta) and cos (-beta) = cos beta?

Arturo O.

The statement
 
sinα + cosα ≤ 1/2
 
is not correct in general.  For example, if α = π/2, then
 
sinα + cosα = sin(π/2) + cos(π/2) = 1 + 0 > 1/2
 
In addition,
 
sin(-β) = -sinβ
cos(-β) = cosβ
 
Is there some other information in the statement of the problem?
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06/04/16

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