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Question
Find the general solution of the following equation:
Solution
We have:
\[ \Rightarrow \sin x - \frac{\sin x}{\cos x} = 0\]
\[ \Rightarrow \sin x \left( 1 - \frac{1}{\cos x} \right) = 0\]
\[ \Rightarrow \sin x (\cos x - 1) = 0\]
\[\cos x - 1 = 0 \]
\[ \Rightarrow \cos x = 1 \]
\[ \Rightarrow \cos x = \cos0 \]
\[ \Rightarrow x = 2m\pi, m \in Z\]
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