3 years ago

Sin 20.sin 10 as sum or difference

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The difference identity for the product is

sinxsiny = $\frac{1}{2}$ [ cos(x - y) - cos(x + y) ], thus

sin20sin10

= $\frac{1}{2}$ [ cos(20 - 10) - cos(20 + 10) ]

= $\frac{1}{2}$ ( cos10 - cos30 )

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