What is the minimum value of 3 cosx + 4 sinx + 8?

Asked by Last Modified  

2 Answers

+2 Mathematics Introduction to Trigonometry

Follow 0
Answer

Please enter your answer

Ankit Agrawal

Concept buliding

f(x) = 3cosx + 4sinx + 5 f '(x) = -3sinx + 4cosx 0 = -3sinx + 4cosx 3sinx = 4cosx tanx = 4/3 x = 0.927 + npi radians for all integers, n f ''(x) = -3cosx - 4sinx f ''(0.927) = -5 0 so a minimum occurs at x = 4.069 f(0.927 + pi) = f(4.069) = 0
read more
f(x) = 3cosx + 4sinx + 5 f '(x) = -3sinx + 4cosx 0 = -3sinx + 4cosx 3sinx = 4cosx tanx = 4/3 x = 0.927 + npi radians for all integers, n f ''(x) = -3cosx - 4sinx f ''(0.927) = -5 < 0 so a maximum occurs at x=0.927 f ''(0.927 + pi) = 5> 0 so a minimum occurs at x = 4.069 f(0.927 + pi) = f(4.069) = 0 read less
Comments
Dislike Bookmark

An Experienced Trainer

9
Comments
Dislike Bookmark

Related Questions

Find the x and y intercepts of the graph of the equation: 9(square of x) + 4(square of y) = 36?
put x=0 and find the y-intercept. put y=0 and find the x-intercept.
Priyanka
0 0
View Comments8
What is the slope of the tangent?
slope=tanθ=(y“-y’)/(x“-x’)=measure of inclination of the line with the positive x-axis. where (x’,y’) and (x“,y“) are the coordinate of any two points on the line.
Neha
0 0
View Comments7
The process of ejection of loosely bound electrons from a metallic surface by the absorption of photons is called __________. (Pair production, Compton Effect, Photoelectric effect, Uncertainity Principle)
Photoelectric effect
Narendra Kumar
1 0
View Comments8
. Electromagnetic radiation when interact with material particle, behaves as __________. (particles, waves, both particles and waves, none of these)
Particles
Narendra Kumar
1 0
View Comments7
Is it possible for one hospital to have an income and expenditure account whereas another has a profit and loss account?
It depends on the type of organisation let me illustrate with an example hospitals that are runned by state government or any NGO or trust does not profit motive hence they will prepare Income and expenditure...
Divya
0 0
View Comments5

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Question from Biology (Immunology)
What would you have to do in order for you to develop artificially-acquired active immunity? Immune system is bodies’ integral defense mechanism which works to keep the body at a steady state. Immunity...
S

Subimal Banerjee

0 0
View Comments0
Vectors
What is Vector? Scalar quantities are quantities that have only magnitudes such as time, area and distance. Vector quantities are quantities that have both magnitudes and directions such velocity...

Charchit Jain

0 0
View Comments0
Objectives of financial accounting
1. Maintenance of records of business 2. Ascertain the results of business 3. Construct the financial position of business 4. Providing accounting information to its users.

Vijayakumar V.

0 0
View Comments0
5-Study Tips every student needs to follow to get results
Tip-1 of Study Tips:Trying to do all tasks together First and foremost thing to do for being more productive is to prioritize our tasks. When you're clear about your priorities, you never try to do all...

Dio Tutorial Point

0 0
View Comments0
Some formulas of algebra
Algebra: 1. (a + b) = a + 2ab + b 2. (a – b) = a – 2ab + b 3. (a + b) (a – b) = a – b 4. (x + a)(x + b) = x + (a + b)x + ab 5. (x + a)(x – b) = x + (a – b)x –...

Kanchan

2 0
View Comments0

Recommended Articles

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Chennai
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Jaipur
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you