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statuscvo [17]
3 years ago
7

Please help! Thank youuuuu~

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught about math in it so it might help you.

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Help!!!! Question is attached in photo
goldfiish [28.3K]

ANSWER

\tan( \alpha )  +  \tan( \beta )

EXPLANATION

The given identity is

\frac{  \sin( \alpha  +  \beta ) }{ \cos( \alpha ) \cos( \beta )  }

We expand the numerator to get:

= \frac{  \sin\alpha  \cos\beta  + \sin\beta  \cos \alpha }{ \cos( \alpha ) \cos( \beta )  }

Split the numerator to obtain:

= \frac{  \sin\alpha  \cos\beta }{ \cos( \alpha ) \cos( \beta )  }  + \frac{ \sin\beta  \cos \alpha }{ \cos( \alpha ) \cos( \beta )  }

Cancel the common factors:

= \frac{  \sin\alpha }{ \cos( \alpha )  }  + \frac{ \sin\beta  }{ \cos( \beta )  }

This simplifies to give us;

=  \tan( \alpha )  +  \tan( \beta )

The second choice is correct

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