Some Geometry Some Calculus Some Trigonometry

In summary, geometry, calculus, and trigonometry are all branches of mathematics that are interconnected. Geometry deals with shapes and their properties, calculus deals with change and rates of change, and trigonometry focuses on the relationships between angles and sides of triangles. These concepts are important in various fields such as engineering, physics, and architecture, and also help develop critical thinking and problem-solving skills. Some real-life applications of these three areas of math include construction, physics, economics, navigation, and astronomy. To improve understanding, one can practice, seek help from tutors or online resources, and apply these concepts to real-world problems.
  • #1
Wasif Jalal
1
0
Show that y≈∆φ×secφ in the jpeg attached.

or ∆y = sec φ

A and B are points on curved surface, two lines are extended through origin to a line that is tangent to the circle, these points are A' and B', change in Angle will bring a change in length between A' and B'. I need to know how is this do-able.View attachment 7296[ATTACH=
 

Attachments

  • maths (2).png
    maths (2).png
    7 KB · Views: 68
Last edited:
Physics news on Phys.org
  • #2
Are you sure you don't mean:

\(\displaystyle \Delta y\approx\sec^2(\varphi)\Delta \varphi\)?
 

FAQ: Some Geometry Some Calculus Some Trigonometry

What is the difference between geometry, calculus, and trigonometry?

Geometry is the study of shapes and their properties, while calculus deals with the study of change and rates of change. Trigonometry focuses on the relationships between angles and sides of triangles.

How are geometry, calculus, and trigonometry related?

Geometry, calculus, and trigonometry are all branches of mathematics and are interconnected. For example, calculus uses geometric concepts to solve problems and trigonometry involves the use of calculus to find areas and volumes of curved shapes.

Why are geometry, calculus, and trigonometry important?

These mathematical concepts are essential in various fields, such as engineering, physics, and architecture. They also help develop critical thinking and problem-solving skills.

What are some real-life applications of these three areas of math?

Geometry is used in construction, architecture, and design. Calculus is used in physics, economics, and engineering to model and solve real-world problems. Trigonometry is used in navigation, astronomy, and construction of buildings and bridges.

How can I improve my understanding of geometry, calculus, and trigonometry?

Practice is key to improving your understanding of these concepts. You can also seek help from tutors or online resources, and try to apply these concepts to real-world problems to deepen your understanding.

Similar threads

B Some questions while I self-learn Applied Calculus
2
Replies
49
Views
4K
I Need help with a proof involving points on a quadratic
Replies
4
Views
1K
I Open interval or Closed interval in defining convex function
Replies
4
Views
2K
B Tangents to a curve as functions of different variables
Replies
5
Views
1K
I Gradient Vectors: Perpendicular to Level Curves
Replies
4
Views
2K
B Some doubts about these differentiation steps
Replies
7
Views
2K
B Simple Derivation Of Euler's Formula And Applications
Replies
2
Views
1K
I Extremal condition in calculus of variations, geometric
Replies
7
Views
2K
I The Basic Area Problem (introduction to the topic of integrals)
Replies
24
Views
3K
MHB Q1 Can you pass this 3 question AP calculus Quiz in 10 minutes
Replies
3
Views
942

Hot Threads

Recent Insights

Back
Top