Exact value of cos 2 ⁡ ( π 8 ) + sin 2 ⁡ (...

Davion Harding

Davion Harding

Answered

2022-06-26

Exact value of cos 2 ( π 8 ) + sin 2 ( 15 π 8 ) ?

Answer & Explanation

Lisbonaid

Lisbonaid

Expert

2022-06-27Added 22 answers

Notice that 15 π 8 = 2 π π 8 . So sin 15 π 8 = sin π 8 . Your expression then reduces/evaluates down to:
cos 2 π 8 + sin 2 π 8 = 1

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