Solve the equation: \cos\frac{23\pi}{12}+\cos\frac{5\pi}{12}

sjeikdom0

sjeikdom0

Answered question

2021-08-19

Solve the equation:
cos23π12+cos5π12

Answer & Explanation

Jozlyn

Jozlyn

Skilled2021-08-20Added 85 answers

Given
Using product sum dole
cos(A)+cos(B)=2cos(A+B2)cos(AB2)
cos(23π12)+cos(5π12)=2cos(23π+5π24)cos(23π125π122)
=2cos(28π24)cos(18π24)
=2cos(7π4)cos(3π4)
=2(12)(12)
cos(23π12)+cos(5π12)=1

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