anonymous
  • anonymous
Determine all points of intersection y=cosX and y=sinX in the first quadrant
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
o my i wish i know..sorry i don't know
arindameducationusc
  • arindameducationusc
easy
arindameducationusc
  • arindameducationusc
sin45=cos45

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arindameducationusc
  • arindameducationusc
hope that works
anonymous
  • anonymous
Yes I know it's 45(pi/4) but is there any math involved? I found the answer by looking at a graph...
arindameducationusc
  • arindameducationusc
in terms of triangle... well try imagining with random values in which sin and cos value merge....
AakashSudhakar
  • AakashSudhakar
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
  • arindameducationusc
@AakashSudhakar How will you explain why the pi/4 came? We know its pi/4.
UsukiDoll
  • UsukiDoll
maybe it's from the 45 degree angle special triangle?
UsukiDoll
  • UsukiDoll
|dw:1438230609757:dw|
AakashSudhakar
  • AakashSudhakar
You can do this either by simply plugging in values into the expression: \[\sin \theta = \cos \theta\]and seeing what works. Or, you can use the unit circle. Create a unit circle, look at the first quadrant, and see which value on the unit circle allows sin(theta) and cos(theta) to traverse the same distance. I prefer the unit circle method, it's much faster and very accurate.
AakashSudhakar
  • AakashSudhakar
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