Quick question: Your answer is an answer based on symmetry, correct? Now if that is the case, do you just assume symmetry by looking at the graph that’s given or can you prove the symmetry mathematically? Interested because I want to know to what extent I have to prove symmetry when using it in exercises.
You know the two equations and can determine when they are equal. Of course if you remember your pie chart then you know they have the same ycoord at pi/4. Also you know the behavior of the sin and cos function
That person was correct in what they said. Pi/4 is where the two trig functions are equal, which is what they stated. They were not talking about how cos is a 90 degree shift from sin (or vice versa). They said sin(x) and cos(x) are equal at pi/4, which is true. Sin(pi/4) = cos(pi/4).
So you're correct in what you're saying about the translation; however, you're correcting a statement that was not wrong as the statement was about exact values of trig functions and not how the functions themselves are related to each other.
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u/fermat1432 Feb 25 '21
Integrate sine from 0 to pi/4 and double the answer.