Finding the derivative of this trig function

Click For Summary
To find the slope of the tangent line for the function f(θ) = √3.cos²(θ) + sin(2θ) at θ = π/6, the derivative f'(θ) should be calculated and then evaluated at that specific angle. The discussion clarifies the translation of the original question from Portuguese to English, ensuring accurate understanding. There is a mention of potential issues with file attachments related to security, but the focus remains on the mathematical problem. The participants suggest directly calculating the derivative to obtain the required slope. The conversation emphasizes the importance of evaluating the derivative at the given angle for the solution.
leticia beira
Messages
4
Reaction score
0
Homework Statement
homework
Relevant Equations
--
Para f (θ) = √3.cos² (θ) + sen (2θ), uma inclinação da reta tangente, uma função em θ = π / 6, é?
 
Physics news on Phys.org
leticia beira said:
Homework Statement:: homework
Relevant Equations:: --

For f (θ) = √3.cos² (θ) + sen (2θ), a slope of the tangent line, a function at θ = π / 6, is it?
Your attachments are not working for some reason. It looks like it might be a file security issue. What format are the files that you are trying to attach?
 
berkeman said:
Your attachments are not working for some reason. It looks like it might be a file security issue. What format are the files that you are trying to attach?
I don't think there is an attachment, other than possibly the translation from Portuguese to English.
I see post #1 in Portuguese, but the quoted text in post #2 is in English.

A better translation is, I believe, the following:
If ##f(\theta) = \sqrt 3 \cos^2(\theta) + \sin(\theta)##, find the slope of the tangent to the curve when ##\theta = \frac \pi 6##.​

@leticia beira, have you tried taking the derivative, ##f'(\theta)## and evaluating it at ##\theta = \frac \pi 6##? That seems to be what the question is asking for.
 
  • Like
Likes Delta2 and berkeman
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
1
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K