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Brilliant_brown [7]
3 years ago
14

Someone please let me know the answer ​

Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

The answer is 30°

Step-by-step explanation:

when \:  \:   \sqrt{3}  \sin( \alpha )  -  \cos( \alpha )  = 0 \\  \sqrt{3}   \sin( \alpha )  =  \cos( \alpha )  \\ multiply \: by \:  \frac{1}{ \sqrt{3}  \cos( \alpha ) }  \\ then \\  \frac{ \sin( \alpha ) }{ \cos( \alpha ) }  =  \frac{1}{ \sqrt{3} }  \\  \tan( \alpha )  =  \frac{1}{ \sqrt{3} }  \\ then \:  \alpha  = 30

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