Determine all points of intersection y=cosX and y=sinX in the first quadrant

Question

anonymous · Answer

o my i wish i know..sorry i don't know

arindameducationusc · Answer

easy

arindameducationusc · Answer

sin45=cos45

arindameducationusc · Answer

hope that works

anonymous · Answer

Yes I know it's 45(pi/4) but is there any math involved? I found the answer by looking at a graph...

arindameducationusc · Answer

in terms of triangle... well try imagining with random values in which sin and cos value merge....

aakashsudhakar · Answer

Well, the more accurate answer would be:$$\frac{ \pi }{ 4 }+2n \pi$$This is because every 2*pi you go out in the positive direction, you'll have another intersection of the cosine and sine graphs in the first quadrant. This is a property generally held true for any intersection relationships between sinusoidal functions.

arindameducationusc · Answer

@AakashSudhakar 
How will you explain why the pi/4 came?
We know its pi/4.

usukidoll · Answer

maybe it's from the 45 degree angle special triangle?

usukidoll · Answer

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