Anikate
  • Anikate
how do u do this? cos2θ+cosθ=0 find solutions
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Anikate
  • Anikate
|dw:1434351527647:dw|
ganeshie8
  • ganeshie8
As a start, factor out \(\large \cos\theta\)
Anikate
  • Anikate
ok

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More answers

Anikate
  • Anikate
|dw:1434351738430:dw|
Anikate
  • Anikate
@ganeshie8
ganeshie8
  • ganeshie8
Ahh that is wrong, and don't wry thats a typical mistake committed by everyone in the start
Anikate
  • Anikate
hmm lol
ganeshie8
  • ganeshie8
\(\large \cos^2\theta\) is same as \(\large (\cos \theta)^2\)
Anikate
  • Anikate
ok
Anikate
  • Anikate
lol idk how that helps
ganeshie8
  • ganeshie8
when you factor out \(\cos\theta\) from \((\cos\theta)^2\), there will be \(\cos\theta\) left behind : |dw:1434352204156:dw|
Anikate
  • Anikate
oooh
ganeshie8
  • ganeshie8
next use zero product property if the product of two factors is 0, then at least one of the factors must be 0
Anikate
  • Anikate
ok so the cos theta on the outside is = to 0
ganeshie8
  • ganeshie8
|dw:1434352435421:dw|
Anikate
  • Anikate
thats it?
ganeshie8
  • ganeshie8
we need to find \(\theta\) using unit circle
ganeshie8
  • ganeshie8
for what values of \(\theta\), the cos function becomes 0 ?
Anikate
  • Anikate
umm...... 0 degrees?
ganeshie8
  • ganeshie8
careful, do u have unit circle ?
Anikate
  • Anikate
in google images yes
Anikate
  • Anikate
lol
ganeshie8
  • ganeshie8
Good
ganeshie8
  • ganeshie8
The first coordinate represents the cosine value : |dw:1434352712518:dw|
Anikate
  • Anikate
oh 1,0
ganeshie8
  • ganeshie8
No, listen to my question again. For what values of \(\theta\), the cosine function is 0 ?
Anikate
  • Anikate
hey is 3:20am here, I can barely concentrate, can u please leave the work, and I'll check back in the morning? sorry and thanks for all ur help and co operation! :)
ganeshie8
  • ganeshie8
Assuming we want to find the principle value, from the unit circle, \[\cos\theta = 0 \implies \theta = 90,270\] \[\cos\theta = -1 \implies \theta = 180\]
ganeshie8
  • ganeshie8
so \(\theta = 90,180,270\) are the solutions

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