Asked by Katie
If sin(x) = 4cos(x), then what is (sin(x))*(cos (x))?
Answers
Answered by
Reiny
if sinx = 4cosx
sinx/cosx =4
tanx= 4 = 4/1
sketch a right-angled triangle with opposite 4 and adjacent 1
then r^2= 4^2 + 1^2
r = √17
then sinx = 4/√17 , cosx = 1/√17
sinxcosx = (4/√17)(1/√17) = 4/17
sinx/cosx =4
tanx= 4 = 4/1
sketch a right-angled triangle with opposite 4 and adjacent 1
then r^2= 4^2 + 1^2
r = √17
then sinx = 4/√17 , cosx = 1/√17
sinxcosx = (4/√17)(1/√17) = 4/17
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