anonymous
  • anonymous
2cos theta = sec theta.. what are they asking me to find?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[\theta\]
anonymous
  • anonymous
\[2\cos\theta=\sec\theta\]
anonymous
  • anonymous
the exact values of the degree?

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anonymous
  • anonymous
i would think so
anonymous
  • anonymous
on what interval?
anonymous
  • anonymous
0 degree to 360 degree
anonymous
  • anonymous
\[2\cos{\theta}=\sec{\theta} \rightarrow 2\cos{\theta}=\frac{1}{\cos{\theta}}\]then\[2\cos^2{\theta}=1\]
anonymous
  • anonymous
\[\cos{\theta}={\pm}\frac{1}{\sqrt{2}}\]
anonymous
  • anonymous
Find all those angles theta that satisfy this.
anonymous
  • anonymous
θ = 45, 215, 135, 225
anonymous
  • anonymous
itsmesowat.. how'd you get the answers?
anonymous
  • anonymous
use your unit circle or other favorite method to get special angle values for consine...
anonymous
  • anonymous
use the calculator do [2nd] [cos] of the fraction 1/rad(2)
anonymous
  • anonymous
Draw a right-angled triangle with sides 1, 1 and hypotenuse sqrt(2). cos(theta)=1/sqrt(2) when theta = 45 degrees. In the second quadrant, 180-45 = 135 degrees, in the third, 180+45 degrees = 225 and in the fourth, 360-45 = 315 degrees/
anonymous
  • anonymous
gotcha.
anonymous
  • anonymous
you got everything lokisan said? you are a genius!!~~~~
anonymous
  • anonymous
lol tyler.. where'd you get 215 degrees?
anonymous
  • anonymous
215 is typo, should be 225, which is 180+45, reference angle of 135
anonymous
  • anonymous
gotcha.
anonymous
  • anonymous
sorry i suck at typing out math... they should introduce the white board on this haha
anonymous
  • anonymous
lmao. XD
anonymous
  • anonymous
they have these equation thingys. it's built from mathjax
anonymous
  • anonymous
wait. how'd you get 1/sqrt of 2?
anonymous
  • anonymous
2cos^2(theta)=1. Divide both sides by 2, then take the sqrt of both sides.

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