Question

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

Answer 1

`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\°)`

Answer 2

the cosine 30 and 60 degrees.