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In Mathematics / Middle School | 2014-07-31

Express the product of \(\cos 30^\circ\) and \(\cos 45^\circ\) in simplest radical form.

Asked by JoannaUrbas

Answer (3)

cos 3 0 0 = 2 3 ​ ​ an d cos 4 5 0 = 2 2 ​ ​ cos 3 0 0 ⋅ cos 4 5 0 = 2 3 ​ ​ ⋅ 2 2 ​ ​ = 2 ⋅ 2 3 ​ ⋅ 2 ​ ​ = 4 6 ​ ​

Answered by kate200468 | 2024-06-10

This means the multiplication of the cos of the particular angles
cos ( 3 0 o ) = 2 3 ​ ​ , cos ( 4 5 o ) = 2 2 ​ ​
So, multiplying them together is
= 2 3 ​ ​ ∗ 2 2 ​ ​ = 4 6 ​ ​

Answered by tonystark | 2024-06-10

The product of cos 3 0 ∘ and cos 4 5 ∘ can be expressed as 4 6 ​ ​ in simplest radical form. This is calculated by multiplying their respective values: 2 3 ​ ​ and 2 2 ​ ​ .
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Answered by kate200468 | 2024-12-24