SUNITA G. answered 09/30/21
Calculus, Precalculus, Alg I/II, Geometry, Trig, ACT/SAT Math
Given: log4(sinx)=A and log 4 (cosx)=B
log4(sin 2x)= log4(2sinxcosx)
=log4(2)+log4(sinx)+log4(cosx)
= 1/2+A+B
SUNITA G. answered 09/30/21
Calculus, Precalculus, Alg I/II, Geometry, Trig, ACT/SAT Math
Given: log4(sinx)=A and log 4 (cosx)=B
log4(sin 2x)= log4(2sinxcosx)
=log4(2)+log4(sinx)+log4(cosx)
= 1/2+A+B
Mark M. answered 09/30/21
Mathematics Teacher - NCLB Highly Qualified
log4 sin x = A, 4A = sin x relationshib between logithmic form and exponential form (learn it!)
lon4 cos x = B, 4B = cos x
sin 2x = 2 sin x cos x double angle formula from Trigonometry
sin 2x = 2(4A)(4B)
sin 2x = 2(22A)(22B)
sin 2x = 22A+2B+1
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