Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
tan θ sin θ + sin θ = 0

Question

turingtest · Answer

$$\tan \theta \sin \theta+\sin \theta=\sin \theta (\tan \theta+1)=0$$which leads to$$\sin \theta=0 \to \theta=n \pi; n=0,1,2,...$$$$\tan \theta=-1 \to \theta={3\pi \over4}+n \pi;n=0,1,2,...$$

turingtest · Answer

oh, you wanted "k" where I put "n", so you can change that.

turingtest · Answer

$$\theta=\left\{ \pi k, {3\pi \over4}+k \pi \right\}$$

anonymous · Answer

Thanks :)