Asked by Andres
                determine real numbers a and b so that the expression 8sin^2(theta) + 2cos^2(theta) can be rewritten as asin^2(theta) + b
I just need help in how to start it.
            
        I just need help in how to start it.
Answers
                    Answered by
            Mgraph
            
    8sin^2+2cos^2=8sin^2+2(1-sin^2)=>
a=6 & b=2
    
a=6 & b=2
                    Answered by
            Anonymous
            
    8 sin^2(theta) + 2 cos^2(theta) = 6 sin^2(theta) + 2 [ sin^2(theta) + 2 cos^2(theta) ] =
6 sin^2(theta) + 2 [ sin^2(theta) + cos^2(theta) ]
Remark:
sin^2(theta) + cos^2(theta) = 1
6 sin^2(theta) + 2 [ sin^2(theta) + cos^2(theta) ] = 6 sin^2(theta) + 2 * 1 =
6 sin^2(theta) + 2
8 sin^2(theta) + 2 cos^2(theta) = 6 sin^2(theta) + 2 =
6 sin^2(theta) + 2 = a sin^2(theta) + b
Obviously:
a = 6
b = 2
    
6 sin^2(theta) + 2 [ sin^2(theta) + cos^2(theta) ]
Remark:
sin^2(theta) + cos^2(theta) = 1
6 sin^2(theta) + 2 [ sin^2(theta) + cos^2(theta) ] = 6 sin^2(theta) + 2 * 1 =
6 sin^2(theta) + 2
8 sin^2(theta) + 2 cos^2(theta) = 6 sin^2(theta) + 2 =
6 sin^2(theta) + 2 = a sin^2(theta) + b
Obviously:
a = 6
b = 2
                    Answered by
            Anonymous
            
    8 sin^2(theta) + 2 cos^2(theta) = 6 sin^2(theta) + 2  sin^2(theta) + 2 cos^2(theta)  = 6 sin^2(theta) + 2 [ sin^2(theta) + cos^2(theta) ] 
    
                    Answered by
            Andres
            
    thanks
    
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