anonymous
  • anonymous
Find all solutions in the interval [0, 2π). cos x = sin x
Mathematics
schrodinger
  • schrodinger
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

cwrw238
  • cwrw238
divide both sides by cos x to give tan x = 1
anonymous
  • anonymous
okay got that
cwrw238
  • cwrw238
the tangent is positive in the first and 3rd quadrants

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
so that gives me pi/4, 7pi/4?
cwrw238
  • cwrw238
pi/4 is correct
cwrw238
  • cwrw238
|dw:1364766655163:dw|
anonymous
  • anonymous
I have two options with pi/4.. they are 7pi/4 or 5pi/4
cwrw238
  • cwrw238
5pi/4 is correct
cwrw238
  • cwrw238
pi/4 is in third quadrant
RadEn
  • RadEn
alternative : cosx =sinx cosx = cos(90-x) cosx = cos(k*360 + 90-x) x = k*360 + 90-x 2x = k*360 + 90 x = k*180 + 45 for k=0, ---> x = 45 degrees for k=1, ---> x = 225 degrees convert all x to units pi radian, just divides by 180

Looking for something else?

Not the answer you are looking for? Search for more explanations.