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MertsjBest ResponseYou've already chosen the best response.0
\[\cos \theta= \frac{\sqrt{2}}{2}\]
 11 months ago

katrinaaapBest ResponseYou've already chosen the best response.0
yeah I need to solve the equation (0<theta<2pi)
 11 months ago

MertsjBest ResponseYou've already chosen the best response.0
We see that the cosine is negative. In what quadrants is the cosine negative?
 11 months ago

MertsjBest ResponseYou've already chosen the best response.0
And on your unit circle, what angle has sqrt2/2 for its cosine?
 11 months ago

MertsjBest ResponseYou've already chosen the best response.0
45 does have that cosine ut we said we would be in quadrants II and III where the cosine is negative. Also you said your answer had to be between 0 and 2 pi so I think you should give the answer in radians.
 11 months ago

MertsjBest ResponseYou've already chosen the best response.0
How many radians is 45 degrees?
 11 months ago

katrinaaapBest ResponseYou've already chosen the best response.0
45 degrees is pi/4
 11 months ago

MertsjBest ResponseYou've already chosen the best response.0
So...in quadrants II and III:
 11 months ago

MertsjBest ResponseYou've already chosen the best response.0
What is the angle meassured from the positive x axis?
 11 months ago

MertsjBest ResponseYou've already chosen the best response.0
Yes. And now for the third quadrant answer:
 11 months ago

MertsjBest ResponseYou've already chosen the best response.0
Very good. And now you have your two answers. The angles between 0 and 2 pi that have a cosine of sqrt2/2 are 3pi/4 and 5pi/4
 11 months ago
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