Asked by RonNika Owens
If a and b are the measures of two first quadrant angles and sin a = and sin b = ,
find sin (a + b).
find sin (a + b).
Answers
Answered by
MathMate
Use the identity:
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
Good to know also:
sin(a-b)=sin(a)cos(b)-cos(a)sin(b)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b)
cos(a-b)=cos(a)cos(b)+sin(a)sin(b)
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
Good to know also:
sin(a-b)=sin(a)cos(b)-cos(a)sin(b)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b)
cos(a-b)=cos(a)cos(b)+sin(a)sin(b)
Answered by
bobpursley
Use the addition formula:
sin(a+b)=SinACosB+sinBcosA
cosA= sqrt (1-sin^2 A)
cosB= sqrt (1-sin^2 B)
sin(a+b)=SinACosB+sinBcosA
cosA= sqrt (1-sin^2 A)
cosB= sqrt (1-sin^2 B)
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