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4 votes
The product of sin 30 degrees and sin 60 degrees is the same as the product of

2 Answers

1 vote

Answer:


sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)

Explanation:

we know that


sin(\alpha)=cos(\beta)

when


\alpha+\beta=90\° -------> complementary angles

so


sin(30\°)=cos(60\°)


sin(60\°)=cos(30\°)

Because


30\°+60\°=90\° -------> complementary angles

In this problem the product of


sin(30\°)*sin(60\°)

is equal to


cos(60\°)*cos(30\°)

therefore


sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)

User Doug Sillars
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6.2k points
2 votes
the cosine 30 and 60 degrees.
User Zdk
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7.4k points