Asked by lughano

find all solutions between 0 and 2pii for (tan theta =1)and (cos theta =negative 1/2).
Answered by Steve
Always start by finding the reference angle in QI. Then you can work with angles in the standard position (with one corner at (0,0) and lying on the x-axis).

tan π/4 = 1
tanθ is positive in QI and QIII

so, the solutions are
θ = π/4 and π+π/4=5π/4

cos π/3 = 1/2
cosθ is negative in QII and QIII, so

θ = π-π/3 and π+π/3
There are no AI answers yet. The ability to request AI answers is coming soon!