TITLE: why $ \sin \theta = \frac{7}{8} \cos \theta$?
QUESTION [1 upvotes]: I have an example:
$$ \tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{7}{8} $$
and then this equation is true? why there is cos multiplied?:
$$ \sin \theta = \frac{7}{8} \cos \theta$$

REPLY [1 votes]: Maybe you can interpret the situation like this, if you are not familiar with the mechanism of equation.
If $$\frac{\sin \theta}{\cos \theta} = \frac{7}{8}$$
We can say $\sin \theta=7\cdot(something), \cos \theta=8\cdot(something)$, 
so $\sin \theta=\frac18{\cos\theta\cdot7=\frac78\cos\theta}$.
{"set_name": "stack_exchange", "score": 1, "question_id": 1303744}