Get the function value if \sin x=\frac{2}{\sqrt{13}} and \cos x=-\frac{3}{\sqrt{13}}

Ausanioyck

Ausanioyck

Answered question

2022-02-28

Get the function value if sinx=213 and cosx=313 and the function value is going to be calculated from sin(2x7π6)

Answer & Explanation

Riccardo Stewart

Riccardo Stewart

Beginner2022-03-01Added 3 answers

sin(2x7π6)=sin2xcos(7π6)cos2xsin(7π6)
=2sinxcosxcos(7π6)(cos2xsin2x)sin(7π6)
=2(213)(313)cos(7π6)(413913)sin(7π6)
=1213cos(7π6)+513sin(7π6)
=1213(32)+513(12)
=12326526=123526

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