arindameducationusc
  • arindameducationusc
Without calculator,steps for finding cos inverse(8/208)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amilapsn
  • amilapsn
\[\arccos{\frac{8}{208}}=\arccos{\frac{1}{26}}=\frac{\pi}{2}-\arcsin{\frac{1}{26}}\approx \frac{\pi}{2}-\frac{1}{26}\]because for small \(\theta\), \(\sin\theta=\theta\Rightarrow\arcsin\theta=\theta \)
arindameducationusc
  • arindameducationusc
Answer had to come in degrees which is 88 @amilapsn .. Please proceed again...
arindameducationusc
  • arindameducationusc
please do all in steps.... Till I get 88 degrees

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ganeshie8
  • ganeshie8
Nice! @arindameducationusc are you saying you don't know how to convert \(\frac{\pi}{2}-\frac{1}{26}\) from radians to degrees ?
amilapsn
  • amilapsn
\[\arccos{\frac{8}{208}}\approx\frac{\pi}{2}-\frac{1}{26}=\left(\left(\frac{\pi}{2}-\frac{1}{26}\right)\times \frac{180}{\pi}\right)^o\approx88^o\]
amilapsn
  • amilapsn
Are you ok @arindameducationusc ?
arindameducationusc
  • arindameducationusc
It should be (pi/2-1/26)*pi/180.... @amilapsn @ganeshie8
arindameducationusc
  • arindameducationusc
No, I got it....my bad..... silly mistakes do happen! LOL...!!!! I got it@amilapsn
ganeshie8
  • ganeshie8
whichever you're converting to, that must be on top : radians to degrees : 180/pi degrees to radians : pi/180
arindameducationusc
  • arindameducationusc
Thank you. one question @ganeshie8 why did we use pi/2-arcsin(theota)?????
arindameducationusc
  • arindameducationusc
property? Send me a link about this property?
ganeshie8
  • ganeshie8
familiar with this identity \(\arcsin(x)+\arccos(x)=\frac{\pi}{2}\) ?
arindameducationusc
  • arindameducationusc
o yes, got it...! thank you.....
ganeshie8
  • ganeshie8
np :) you also need to know the small angle approximation of \(\sin\theta\) when \(\theta\) is small, we can replace \(\sin\theta \) by \(\theta\)

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