SOLUTION: Solve the equations below exactly. Give your answers in radians, and find all possible values for t in the interval 0≤t≤2π. If there is more than one answer, enter

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equations below exactly. Give your answers in radians, and find all possible values for t in the interval 0≤t≤2π. If there is more than one answer, enter      Log On


   

Question 995809: Solve the equations below exactly. Give your answers in radians, and find all possible values for t in the interval 0≤t≤2π. If there is more than one answer, enter your solutions in a comma separated list.
(a) sin(t)=1/2 when t=

(b) cos(t)=−-3/√2 when t=

(c) tan(t)=−1 when t=


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
(a) sin(t) = 1/2 when t = pi%2F6   or   t = 5pi%2F6.


(b) cos(t)= −-3/√2 when t = . . .

I can not read it.  If it is   "cos(t)= −3/√2"  then it is wrong:  modulus of cosines is always <= 1.


(c) tan(t) = −1 when t = 5pi%2F4   or   t = 7pi%2F4.