anonymous
  • anonymous
Use identities (no calculators) to find the exact value for (sin 38)(sin 112) -( cos 38)(cos 112).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
same trick as before. this is the addition angle formula for cosine{ \[cos(a+b)=cos(a)cos(b)-sin(a)sin(b)\]
anonymous
  • anonymous
here \[a=38,b=112, a+b=150\]
anonymous
  • anonymous
well on careful inspection i see that this is it's negative, but that is ok \[cos(150)=-\frac{\sqrt{3}}{2}\] so your answer here is \[\frac{\sqrt{3}}{2}\]

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anonymous
  • anonymous
Why does the negative turn to a positive?
anonymous
  • anonymous
oh because the "addition angle" formula is not the one written in the question. it is its negative

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