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avatar+159 

given: sin α cos β = 1/2

(sin alpha cos beta equals 0.5)

What's the range of: cos α sin β ?

please help asap :)

 Mar 8, 2019
 #1
avatar+6192 
+5

\(\sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta) = \\ \dfrac 1 2 + \cos(\alpha)\sin(\beta)\\ \cos(\alpha)\sin(\beta) = \sin(\alpha+\beta)-\dfrac 1 2\)

 

\(\text{You should know the range of }\sin(\alpha +\beta)\\ \text{So what is the range of }\sin(\alpha +\beta)-\dfrac 1 2\)

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 Mar 9, 2019
 #2
avatar+159 
+2

I figured it out, thank you so much! 

1/2 is the maximum, negative 1/2 is the minimum

hearts123  Mar 14, 2019

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