What is the value of cos(pi/8)?

esterificslo1

esterificslo1

Answered question

2023-02-26

What is the value of cosπ8?

Answer & Explanation

placerdeleermvau

placerdeleermvau

Beginner2023-02-27Added 7 answers

Find the value of cosπ8.
In the formula cos2A=2cos2A-1,put A=π8:
cos2π8=2cos2π8-1cosπ4=2cos2π8-112=2cos2π8-1[cosπ4=cos45°=12]cos2π8=1+122cos2π8=2+122cosπ8=2+122
Now explain the expression above.
cosπ8=2+122×22=2+24=2+22
Therefore, the value of cosπ8 is 2+22.

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