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anonymous
 3 years ago
cos theta=  square root 2 divided by 2
anonymous
 3 years ago
cos theta=  square root 2 divided by 2

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Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0\[\cos \theta= \frac{\sqrt{2}}{2}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah I need to solve the equation (0<theta<2pi)

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0We see that the cosine is negative. In what quadrants is the cosine negative?

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0And on your unit circle, what angle has sqrt2/2 for its cosine?

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.045 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.

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0How many radians is 45 degrees?

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0So...in quadrants II and III:

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0What is the angle meassured from the positive x axis?

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0Yes. And now for the third quadrant answer:

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0Very 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
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