Solve the equation on the interval 0,2pi
1-cos=1/2
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (saifoo.khan):
-cosx = 1/2 -1
-cosx = -1/2
cos x = 1/2
OpenStudy (saifoo.khan):
Can you solve from here? @axlopez23
OpenStudy (anonymous):
write your question again............
OpenStudy (anonymous):
is it 1-cosx=1/2
OpenStudy (anonymous):
?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
pi/3, 5pi/3?
OpenStudy (anonymous):
cos(x)=1/2
cos(x)=cos((pi)/3)or cos(5pi/3)
OpenStudy (anonymous):
ya your answer is right
OpenStudy (anonymous):
ok how about sin(3x)=-1?
sin is -1 at 3pi/2
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (maheshmeghwal9):
so x = pi/2
OpenStudy (anonymous):
so then would I use the +pi k formula?
OpenStudy (maheshmeghwal9):
hmm..................?
OpenStudy (anonymous):
sin(3x)=-sin(pi/2)
sin3x=sin(pi+pi/2) or sin(2pi-pi/2)
sin3x=sin(3pi/2)
OpenStudy (anonymous):
sorry
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (maheshmeghwal9):
so x = pi/2 @nitz ?
OpenStudy (anonymous):
ya
OpenStudy (anonymous):
hmm ok so I know pi/2 is where sin = -1, that would be my only solution in the interval right?
OpenStudy (anonymous):
i meant 3pi/2. Would pi/2 be part of the solution as well?
OpenStudy (maheshmeghwal9):
no only pi/2 is ur answer becoz u had to find the value of x which is pi/2
which again will the point at which sin 3x will become -1
& the angle at which the value of above function is -1 is 3x=3pi/2.
so it is the angle nt ur answer
ur answer is x=pi/2
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
ok thanks. im stuck on this last one of this type as well, tan x/2= root3. I came up with x=1, x=-1/2.