Solve the equation 1+tan^2(−α)/sec^3α=−1/2 given that 0≤α

Question

Solve the equation 1+tan^2(−α)/sec^3α=−1/2 given that 0≤α<2π. Separate multiple answers with a comma.

Yefim S. · Accepted Answer

(1 + tan2(- α))/sec3(α) = - 1/2; cos3(α) + sin2(α)cos(α) = - 1/2; cos(α) = - 1/2; α = 2π/3 or α = 4π/3.

Solve the equation 1+tan^2(−α)/sec^3α=−1/2 given that 0≤α<2π. Separate multiple answers with a comma.