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Trig. Identity question

0:45 Publicado por Mario Galarza

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This is a question, that I am stuck on:

$\sqrt{3}\tan\theta\ =2\sin\theta$ Find the value of $\theta$ in the range from 0 to 360.

You are the identity you want to use: $\tan\theta\ = \frac{\sin\theta}{\cos\theta}$
I rearranged to obtain: $\cos\theta\ = \frac{\sin\theta}{\tan\theta}$

And I rearrange to get the question: $\frac{\sin\theta}{\tan\theta} = \frac{\sqrt{3}}{2}$ (let me know if I did an overhaul of the error)

Therefore on the basis of the identity $\cos\theta\ = \frac{\sqrt{3}}{2}$ these are the only solutions I can get 30 to 330 degrees. The answers say 0, 30, 180, 330 and 360 that are replies. Where? They other responses

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Etiquetas: Identity, Question

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