Math, asked by wwwamirtha2004, 2 months ago

express sin 50 degree +sin 20 degree as a product​

Answers

Answered by Anonymous
25

Answer:

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Answered by ajajit9217
5

Answer:

sin 50° + sin 20° as a product is 2 sin 35° cos 15°

Step-by-step explanation:

We have to express sin 50° + sin 20° as a product.

We know that sin A + sin B = 2 sin (\frac{A+B}{2}) cos (\frac{A-B}{2})

Taking A = 50° and B = 20° and substituting in the above formula, we get,

sin 50° + sin 20° = 2 sin (\frac{50+20}{2}) cos (\frac{50-20}{2})

                           = 2 sin (\frac{70}{2}) cos (\frac{30}{2})

                           = 2 sin 35° cos 15°

Therefore, sin 50° + sin 20° as a product is 2 sin 35° cos 15°

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