I typed $\cos\theta=\sqrt{1-\sin^2\theta}$ into WolframAlpha and it gave me the numerical solution $\theta=1.1$. However, it did not provide a step-by-step solution like it normally does.
Is this correct? I know that $\cos\theta=\sqrt{1-\sin^2\theta}$ is not an identity since the left-hand side can be negative and the right-hand side is always positive, so I assume a numerical solution can possibly exist, but I am very interested in figuring out how one arrives at the solution $\theta=1.1$.