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laerb911
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what is the tangent line of F(x)= sin^2 x at points (pi/4,1/2)
 7 months ago
 7 months ago
laerb911 Group Title
what is the tangent line of F(x)= sin^2 x at points (pi/4,1/2)
 7 months ago
 7 months ago

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myininaya Group TitleBest ResponseYou've already chosen the best response.0
Find the derivative for your function to find the slope at pi/4
 7 months ago

richyw Group TitleBest ResponseYou've already chosen the best response.0
\[F(x)=\sin^2x\]\[F '(x)=2\sin x\cos x\]\[F'(\pi/4)=2\sin\left(\frac{\pi}{4}\right)\cos\left(\frac{\pi}{4}\right)\]\[=2\left(\frac{\sqrt{2}}{2}\right)\left(\frac{\sqrt{2}}{2}\right)=1\]
 7 months ago

richyw Group TitleBest ResponseYou've already chosen the best response.0
now you have the slope (I think haha) and then you also have a point \((\pi/4,1/2)\) so then you have \[\pi/4+b=1/2\]\[b = 1/2\pi/4\]so \(g(x)=x+1/2\pi/4\) is the tangent line. At least I think. I have a bad hangover.
 7 months ago

laerb911 Group TitleBest ResponseYou've already chosen the best response.0
Thank you
 7 months ago
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