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Darina [25.2K]
4 years ago
13

Trig question -- please help if you can!

Mathematics
1 answer:
yanalaym [24]4 years ago
4 0
\bf \textit{Sum and Difference Identities}
\\\\
sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta)
\\\\
cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)\\\\
-------------------------------\\\\
y=r[cos(\theta +R)]\implies y=r[cos(\theta )cos(R)-sin(\theta )sin(R)]
\\\\\\
y=rcos(\theta )cos(R)-rsin(\theta )sin(R)
\\\\\\
z=r[sin(\theta +R)]\implies y=r[sin(\theta )cos(R)+cos(\theta )sin(R)]
\\\\\\
z=rsin(\theta )cos(R)+rcos(\theta )sin(R)
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Looking at the entire graph, you can see that the parabola starts from the left and ends with an open circle at x=2. An open circle means that the graph doesn't have a value at that point, x=2. The linear line starts with a filled point at x=2 and continues to the right. That means we're looking for the choice where:
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------

Answer: C) y = \left \{ {{x^{2} + 4  \textless \ 2} \atop {x + 4 \: \geq \: 2}} \right.



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