Why is 2 cos 2 </msup> &#x2061;<!-- ⁡ --> 10 &#x2218;<!-- ∘ --

Brennen Fisher

Brennen Fisher

Answered question

2022-05-29

Why is 2 cos 2 10 2 cos 2 20 = sin 10 ?

Answer & Explanation

Keyon Fitzgerald

Keyon Fitzgerald

Beginner2022-05-30Added 10 answers

We can write our equation as:
2 cos 2 10 2 cos 2 20 = 2 ( cos 10 + cos 20 ) ( cos 10 cos 20 ) = 2 ( 2 cos 15 cos 5 ) ( 2 sin 15 sin 5 ) = 8 sin 15 cos 15 sin 5 cos 5 = 2 ( 2 sin 15 cos 15 ) ( 2 sin 5 cos 5 ) = 2 sin 30 sin 10 = sin 10 .

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