Use identities (no calculators) to find the exact value for (sin 15)(cos 45) + (cos 15)(sin 45).

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Use identities (no calculators) to find the exact value for (sin 15)(cos 45) + (cos 15)(sin 45).

Mathematics
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This is the 'addition angle formula \[sin(a+b)=sin(a)cos(b)+cos(a)sin(b)\]
here \[a=15, b=45\] so the left hand side is \[sin(15+45)=sin(60)\]
\[sin(60)=\frac{\sqrt{3}}{2}\]

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Thanks! What if they are angles such as Use identities (no calculators) to find the exact value for (sin 38)(sin 112) -( cos 38)(cos 112) ???

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