Make quadratic equation in terms of cos 2 </msup> &#x2061;<!-- ⁡ --> x if

Thalia Ortiz

Thalia Ortiz

Answered question

2022-06-02

Make quadratic equation in terms of cos 2 x if given sin x = 5 1 2

Answer & Explanation

duhovitozywpv

duhovitozywpv

Beginner2022-06-03Added 3 answers

Hint: cos 2 x = 5 1 2 = sin x cos 4 x = sin 2 x = 1 cos 2 x
Kubjatkocn2cl

Kubjatkocn2cl

Beginner2022-06-04Added 1 answers

sin x = 5 1 2 sin 2 x = 6 2 5 4 = 3 5 2
cos 2 x = 1 3 5 2 = 5 1 2 cos 4 x = 3 5 2
Then
cos 4 x + cos 2 x = 3 5 + 5 1 2 = 2 2 = 1
as required.

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