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Solve each equation for theta, giving a general formula for all of the solutions:

a. tan(theta)=-1
b. sin(theta/2)=1/2

1 answer

tan(-π/4) = -1
so, θ = -π/4 + nπ

sin(π/6) = 1/2, so θ/2 = π/6,5π/6,...
θ = π/3, 5π/3, ... = π/3 + 4nπ, 5π/3 + 4nπ

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