f(x)=aSink(x+b)+q
a=amplitude.
k affects the period, for sin and cos 360/k, for tan its 180/k= period.
b tells you about a horizontal shift.
q tells you about the vertical shift of the graph.
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Sin²x-Cos²x is not equal to Cos2x.
But we can find a common factor.
-(Cos²x-Sin²x)= -(Cos2x)✓
Next
2Sin²x-1 is not equal to Cos2x
Unless you put the negative as a common factor.
-(1-2Sin²x)=-(Cos2x)✓
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All arithmetic will diverge.
Geometric will converge if term numbers are getting smaller till they reach zero.
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Prove the ff identity.
1/1-sinx + 1/1+sinx = 2/Cos^2x
Start by cross multiplying if you are adding two fractions then multiply denominators if they are not the same.
LHS
1/1-sinx + 1/1+sinx
= (1+Sinx + 1-Sinx)/1-Sin^2x
=2/Cos^2x.
Done check comments
This is how you change double angles
Sin2x = 2SinxCosx
Cos2x= 2cos^2x-1
=Cos^2-Sin^2x
=1-2Sin^2x
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4321 Nomyaca High School, Empangeni
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