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.

Question

(a) sin(t)=2/√2 when t=


(b) cos(t)=1/2 when t=


(c) tan(t)=−1 when t=

Answer 1

you should review your basic standard triangles:

45-45-90: sides 1:1:√2
30-60-90: sides 1:√3:2

Each problem here will have two solutions, in the quadrants where the named function is positive or negative.