rachael
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What does "simplify" means in this case:
Simplify each of the following:
1. sin(3pi/2-x)
Simplify each of the following:
1. sin(3pi/2-x)
Simplifying sin(3pi/2-x): An Exploration
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Do you mean something like this:rachael said:
[tex]\sin \left( \frac{3 \pi}{2 - x} \right)[/tex]?
If you mean that, then I don't think it can be simplified any more.
rachael
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nope i mean sin [(3pi/2)-x]
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Ahh, I see. I'll give you some hints. Do you know something like:rachael said:
[tex]\sin (\pi + x) = - \sin x[/tex] and
[tex]\sin \left( \frac{\pi}{2} - x \right) = \cos x[/tex]?
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In other words, "simplify" here means "write in a simpler form" which would be something like Asin(x)+ Bcos(x) rather than sin([itex]\theta[/itex]+x). In my opinion you would certainly be justified in arguing whether or not that is simpler but it is clearly what is intended.
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In general:
[tex]sin(A \pm B)=sinA \, cosB \pm sinB \, cosA[/tex]
[tex]cos(A \pm B)=cosA \, cosB \mp sinA \, sinB[/tex]
-Dan
[tex]sin(A \pm B)=sinA \, cosB \pm sinB \, cosA[/tex]
[tex]cos(A \pm B)=cosA \, cosB \mp sinA \, sinB[/tex]
-Dan
rachael
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thank you...