Does anybody know of a quick way of finding real

Akash Matthews

Akash Matthews

Answered question

2022-03-01

Does anybody know of a quick way of finding real a and b for the equation 2sin(x+10)=asinx+bcosx

Answer & Explanation

koffiejkl

koffiejkl

Beginner2022-03-02Added 7 answers

Do you know the trigonometric identity
sin(x+y)=cos(x)sin(y)+sin(x)cos(y)
So
2sin(x+10)=2cos(10)sin(x)+2sin(10)cos(x)
Now you can choose
a=12cos(10)
andb=12sin(10)

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