Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
laerb911
Group Title
what is the tangent line of F(x)= sin^2 x at points (pi/4,1/2)
 8 months ago
 8 months ago
laerb911 Group Title
what is the tangent line of F(x)= sin^2 x at points (pi/4,1/2)
 8 months ago
 8 months ago

This Question is Open

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

richyw Group TitleBest ResponseYou've already chosen the best response.0
\[F(x)=\sin^2x\]\[F '(x)=2\sin x\cos x\]\[F'(\pi/4)=2\sin\left(\frac{\pi}{4}\right)\cos\left(\frac{\pi}{4}\right)\]\[=2\left(\frac{\sqrt{2}}{2}\right)\left(\frac{\sqrt{2}}{2}\right)=1\]
 8 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.
 8 months ago

laerb911 Group TitleBest ResponseYou've already chosen the best response.0
Thank you
 8 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.