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Prove the following formula:

Sin(pie/2 + Beta ) = cos beta


thank you

2007-08-01 14:25:03 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

sin(A+B) = sinAcosB + cosAsinB

sin(pi/2) = 1
cos(pi/2) = 0

sin(pi/2 + beta)
= sin(pi/2)cos(beta) + cos(pi/2)sin(beta)
= 1*cos(beta) + 0*sin(beta)
= cos(beta)

2007-08-01 14:28:55 · answer #1 · answered by gudspeling 7 · 1 0

sin(x+y) = sinx cosy+cosx siny
Sin(pi/2 + beta) = sin(pi/2) cos(beta)+cos(pi/2) sin(beta)
sin(pi/2) = 1 and cos(pi/2) = 0

Sin(pi/2+beta)=cos(beta)

2007-08-01 14:29:05 · answer #2 · answered by nyphdinmd 7 · 0 0

sin(pi/2 + Beta )
= sin(pi/2)cos(Beta) + cos(pi/2)sin(Beta)
= cos(Beta)

2007-08-01 14:29:36 · answer #3 · answered by sahsjing 7 · 0 0

CHEATER! I am telling!

2007-08-01 14:32:12 · answer #4 · answered by Anonymous · 0 1

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