Use a calculator to find θ to the nearest tenth of the degree, if 0∘<θ<360∘ and secθ=−1.0122 with θ in QII.

Answer 1

Since your calculator in undoubtedly missing a "secant" button, use the fact that sec(θ) = 1/cos(θ) so if sec(θ) = −1.0122 then cos(θ) = 1/−1.0122 or cos(θ) = -0.987947. Now you can use cos^-1( -0.987947) on your calculator to get θ = 171.1° and this, indeed, is in Q2