Trig question -- please help if you can!

1 answer:

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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