solve the multiple-angle equation. 2cos x/2 - sqrt(2) = 0

Harlen Pritchard 2020-11-23 Answered

solve the multiple-angle equation. 2cosx/2(2)=0

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Expert Answer

Daphne Broadhurst
Answered 2020-11-24 Author has 109 answers

1:
2cos(x/2)(2)=0
2:
cos(x/2)=(2)/2
3:
π/4 and 7 π/4
4:
π/2=2nπ & x+7π/2+2nπ
Result
x=π/2+4nπ and x=7π/2+4nπ. It changes from 2nπ to 4nπ because the equation is cos(x/2) and not cosx so you need to multiply the coterminal possibilities by 2.

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